What is the Greatest Common Factor of 79716 and 79730?

Greatest common factor (GCF) of 79716 and 79730 is 14.

GCF(79716,79730) = 14

We will now calculate the prime factors of 79716 and 79730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79716 and 79730.

How to find the GCF of 79716 and 79730?

We will first find the prime factorization of 79716 and 79730. After we will calculate the factors of 79716 and 79730 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 79730

Prime factors of 79730 are 2, 5, 7, 17, 67. Prime factorization of 79730 in exponential form is:

79730 = 2¹ × 5¹ × 7¹ × 17¹ × 67¹

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 79730

List of positive integer factors of 79730 that divides 79716 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 67, 70, 85, 119, 134, 170, 238, 335, 469, 595, 670, 938, 1139, 1190, 2278, 2345, 4690, 5695, 7973, 11390, 15946, 39865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79716 and 79730. The biggest common factor number is the GCF number.
So the greatest common factor 79716 and 79730 is 14.

Also check out the Least Common Multiple of 79716 and 79730