TheGCFof 36 and 63 is 9.To find thegreatestcommonfactor(GCF) of 36 and 63, we can use various methods such as primefactorizationor the division method. Here, I'll explain the division method:Step 1: Start bydividingthe larger number (63) by the smaller number (36):63 ÷ 36 = 1remainder27Step 2: Now, divide thedivisor(36) by the remainder (27):36 ÷ 27 = 1 remainder 9Step 3: Continue dividing the previous remainder (27) by the latest remainder (9):27 ÷ 9 = 3Step 4: Finally,dividethe divisor (9) by the remainder (0):9 ÷ 0 = Undefined (Since the remainder is 0, we stop the division process.)The last non-zero remainder we obtained is 9. Therefore, the GCF of 36 and 63 is 9.To explain further, theGCFis the largest number that can divide both 36 and 63 without leaving any remainder. By using the division method, we progressively divide the larger number by the smaller number, then divide the divisor by the remainder, and continue until we reach a remainder of 0. The last non-zero remainder we obtain is the GCF. In this case, it is 9.To learn more about thedivision;brainly.com/question/13263114#SPJ6...

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