What is the Greatest Common Factor of 79716 and 79736?

Greatest common factor (GCF) of 79716 and 79736 is 4.

GCF(79716,79736) = 4

We will now calculate the prime factors of 79716 and 79736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79716 and 79736.

How to find the GCF of 79716 and 79736?

We will first find the prime factorization of 79716 and 79736. After we will calculate the factors of 79716 and 79736 and find the biggest common factor number .

Step-1: Prime Factorization of 79716

Prime factors of 79716 are 2, 3, 7, 13, 73. Prime factorization of 79716 in exponential form is:

79716 = 2² × 3¹ × 7¹ × 13¹ × 73¹

Step-2: Prime Factorization of 79736

Prime factors of 79736 are 2, 9967. Prime factorization of 79736 in exponential form is:

79736 = 2³ × 9967¹

Step-3: Factors of 79716

List of positive integer factors of 79716 that divides 79716 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 73, 78, 84, 91, 146, 156, 182, 219, 273, 292, 364, 438, 511, 546, 876, 949, 1022, 1092, 1533, 1898, 2044, 2847, 3066, 3796, 5694, 6132, 6643, 11388, 13286, 19929, 26572, 39858

Step-4: Factors of 79736

List of positive integer factors of 79736 that divides 79716 without a remainder.

1, 2, 4, 8, 9967, 19934, 39868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79716 and 79736. The biggest common factor number is the GCF number.
So the greatest common factor 79716 and 79736 is 4.

Also check out the Least Common Multiple of 79716 and 79736