What is the Greatest Common Factor of 79968 and 79973?

Greatest common factor (GCF) of 79968 and 79973 is 1.

GCF(79968,79973) = 1

We will now calculate the prime factors of 79968 and 79973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79968 and 79973.

How to find the GCF of 79968 and 79973?

We will first find the prime factorization of 79968 and 79973. After we will calculate the factors of 79968 and 79973 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 79973

Prime factors of 79973 are 79973. Prime factorization of 79973 in exponential form is:

79973 = 79973¹

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 79973

List of positive integer factors of 79973 that divides 79968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79968 and 79973. The biggest common factor number is the GCF number.
So the greatest common factor 79968 and 79973 is 1.

Also check out the Least Common Multiple of 79968 and 79973