What is the Greatest Common Factor of 79709 and 79716?

Greatest common factor (GCF) of 79709 and 79716 is 7.

GCF(79709,79716) = 7

We will now calculate the prime factors of 79709 and 79716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79709 and 79716.

How to find the GCF of 79709 and 79716?

We will first find the prime factorization of 79709 and 79716. After we will calculate the factors of 79709 and 79716 and find the biggest common factor number .

Step-1: Prime Factorization of 79709

Prime factors of 79709 are 7, 59, 193. Prime factorization of 79709 in exponential form is:

79709 = 7¹ × 59¹ × 193¹

Step-2: 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-3: Factors of 79709

List of positive integer factors of 79709 that divides 79709 without a remainder.

1, 7, 59, 193, 413, 1351, 11387

Step-4: Factors of 79716

List of positive integer factors of 79716 that divides 79709 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79709 and 79716. The biggest common factor number is the GCF number.
So the greatest common factor 79709 and 79716 is 7.

Also check out the Least Common Multiple of 79709 and 79716