What is the Greatest Common Factor of 79614 and 79632?

Greatest common factor (GCF) of 79614 and 79632 is 18.

GCF(79614,79632) = 18

We will now calculate the prime factors of 79614 and 79632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79614 and 79632.

How to find the GCF of 79614 and 79632?

We will first find the prime factorization of 79614 and 79632. After we will calculate the factors of 79614 and 79632 and find the biggest common factor number .

Step-1: Prime Factorization of 79614

Prime factors of 79614 are 2, 3, 4423. Prime factorization of 79614 in exponential form is:

79614 = 2¹ × 3² × 4423¹

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 79614

List of positive integer factors of 79614 that divides 79614 without a remainder.

1, 2, 3, 6, 9, 18, 4423, 8846, 13269, 26538, 39807

Step-4: Factors of 79632

List of positive integer factors of 79632 that divides 79614 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 79614 and 79632. The biggest common factor number is the GCF number.
So the greatest common factor 79614 and 79632 is 18.

Also check out the Least Common Multiple of 79614 and 79632