What is the Greatest Common Factor of 79632 and 79647?

Greatest common factor (GCF) of 79632 and 79647 is 3.

GCF(79632,79647) = 3

We will now calculate the prime factors of 79632 and 79647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79632 and 79647.

How to find the GCF of 79632 and 79647?

We will first find the prime factorization of 79632 and 79647. After we will calculate the factors of 79632 and 79647 and find the biggest common factor number .

Step-1: Prime Factorization of 79632

Prime factors of 79632 are 2, 3, 7, 79. Prime factorization of 79632 in exponential form is:

79632 = 2⁴ × 3² × 7¹ × 79¹

Step-2: Prime Factorization of 79647

Prime factors of 79647 are 3, 139, 191. Prime factorization of 79647 in exponential form is:

79647 = 3¹ × 139¹ × 191¹

Step-3: Factors of 79632

List of positive integer factors of 79632 that divides 79632 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 79, 84, 112, 126, 144, 158, 168, 237, 252, 316, 336, 474, 504, 553, 632, 711, 948, 1008, 1106, 1264, 1422, 1659, 1896, 2212, 2844, 3318, 3792, 4424, 4977, 5688, 6636, 8848, 9954, 11376, 13272, 19908, 26544, 39816

Step-4: Factors of 79647

List of positive integer factors of 79647 that divides 79632 without a remainder.

1, 3, 139, 191, 417, 573, 26549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79632 and 79647. The biggest common factor number is the GCF number.
So the greatest common factor 79632 and 79647 is 3.

Also check out the Least Common Multiple of 79632 and 79647