What is the Greatest Common Factor of 79954 and 79968?

Greatest common factor (GCF) of 79954 and 79968 is 14.

GCF(79954,79968) = 14

We will now calculate the prime factors of 79954 and 79968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79954 and 79968.

How to find the GCF of 79954 and 79968?

We will first find the prime factorization of 79954 and 79968. After we will calculate the factors of 79954 and 79968 and find the biggest common factor number .

Step-1: Prime Factorization of 79954

Prime factors of 79954 are 2, 7, 5711. Prime factorization of 79954 in exponential form is:

79954 = 2¹ × 7¹ × 5711¹

Step-2: 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-3: Factors of 79954

List of positive integer factors of 79954 that divides 79954 without a remainder.

1, 2, 7, 14, 5711, 11422, 39977

Step-4: Factors of 79968

List of positive integer factors of 79968 that divides 79954 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79954 and 79968. The biggest common factor number is the GCF number.
So the greatest common factor 79954 and 79968 is 14.

Also check out the Least Common Multiple of 79954 and 79968