What is the Greatest Common Factor of 79716 and 79720?

Greatest common factor (GCF) of 79716 and 79720 is 4.

GCF(79716,79720) = 4

We will now calculate the prime factors of 79716 and 79720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79716 and 79720.

How to find the GCF of 79716 and 79720?

We will first find the prime factorization of 79716 and 79720. After we will calculate the factors of 79716 and 79720 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 79720

Prime factors of 79720 are 2, 5, 1993. Prime factorization of 79720 in exponential form is:

79720 = 2³ × 5¹ × 1993¹

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 79720

List of positive integer factors of 79720 that divides 79716 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1993, 3986, 7972, 9965, 15944, 19930, 39860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79716 and 79720. The biggest common factor number is the GCF number.
So the greatest common factor 79716 and 79720 is 4.

Also check out the Least Common Multiple of 79716 and 79720