What is the Greatest Common Factor of 79968 and 79976?

Greatest common factor (GCF) of 79968 and 79976 is 8.

GCF(79968,79976) = 8

We will now calculate the prime factors of 79968 and 79976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79968 and 79976.

How to find the GCF of 79968 and 79976?

We will first find the prime factorization of 79968 and 79976. After we will calculate the factors of 79968 and 79976 and find the biggest common factor number .

Step-1: Prime Factorization of 79968

Prime factors of 79968 are 2, 3, 7, 17. Prime factorization of 79968 in exponential form is:

79968 = 2⁵ × 3¹ × 7² × 17¹

Step-2: Prime Factorization of 79976

Prime factors of 79976 are 2, 13, 769. Prime factorization of 79976 in exponential form is:

79976 = 2³ × 13¹ × 769¹

Step-3: Factors of 79968

List of positive integer factors of 79968 that divides 79968 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 32, 34, 42, 48, 49, 51, 56, 68, 84, 96, 98, 102, 112, 119, 136, 147, 168, 196, 204, 224, 238, 272, 294, 336, 357, 392, 408, 476, 544, 588, 672, 714, 784, 816, 833, 952, 1176, 1428, 1568, 1632, 1666, 1904, 2352, 2499, 2856, 3332, 3808, 4704, 4998, 5712, 6664, 9996, 11424, 13328, 19992, 26656, 39984

Step-4: Factors of 79976

List of positive integer factors of 79976 that divides 79968 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 769, 1538, 3076, 6152, 9997, 19994, 39988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79968 and 79976. The biggest common factor number is the GCF number.
So the greatest common factor 79968 and 79976 is 8.

Also check out the Least Common Multiple of 79968 and 79976