What is the Greatest Common Factor of 79617 and 79632?

Greatest common factor (GCF) of 79617 and 79632 is 3.

GCF(79617,79632) = 3

We will now calculate the prime factors of 79617 and 79632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79617 and 79632.

How to find the GCF of 79617 and 79632?

We will first find the prime factorization of 79617 and 79632. After we will calculate the factors of 79617 and 79632 and find the biggest common factor number .

Step-1: Prime Factorization of 79617

Prime factors of 79617 are 3, 26539. Prime factorization of 79617 in exponential form is:

79617 = 3¹ × 26539¹

Step-2: 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-3: Factors of 79617

List of positive integer factors of 79617 that divides 79617 without a remainder.

1, 3, 26539

Step-4: Factors of 79632

List of positive integer factors of 79632 that divides 79617 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79617 and 79632. The biggest common factor number is the GCF number.
So the greatest common factor 79617 and 79632 is 3.

Also check out the Least Common Multiple of 79617 and 79632