What is the Greatest Common Factor of 79959 and 79968?

Greatest common factor (GCF) of 79959 and 79968 is 3.

GCF(79959,79968) = 3

We will now calculate the prime factors of 79959 and 79968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79959 and 79968.

How to find the GCF of 79959 and 79968?

We will first find the prime factorization of 79959 and 79968. After we will calculate the factors of 79959 and 79968 and find the biggest common factor number .

Step-1: Prime Factorization of 79959

Prime factors of 79959 are 3, 11, 2423. Prime factorization of 79959 in exponential form is:

79959 = 3¹ × 11¹ × 2423¹

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 79959

List of positive integer factors of 79959 that divides 79959 without a remainder.

1, 3, 11, 33, 2423, 7269, 26653

Step-4: Factors of 79968

List of positive integer factors of 79968 that divides 79959 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 79959 and 79968. The biggest common factor number is the GCF number.
So the greatest common factor 79959 and 79968 is 3.

Also check out the Least Common Multiple of 79959 and 79968