What is the Greatest Common Factor of 93072 and 93079?

Greatest common factor (GCF) of 93072 and 93079 is 7.

GCF(93072,93079) = 7

We will now calculate the prime factors of 93072 and 93079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93072 and 93079.

How to find the GCF of 93072 and 93079?

We will first find the prime factorization of 93072 and 93079. After we will calculate the factors of 93072 and 93079 and find the biggest common factor number .

Step-1: Prime Factorization of 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 2⁴ × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 93079

Prime factors of 93079 are 7, 13297. Prime factorization of 93079 in exponential form is:

93079 = 7¹ × 13297¹

Step-3: Factors of 93072

List of positive integer factors of 93072 that divides 93072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 277, 336, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 4432, 5817, 6648, 7756, 11634, 13296, 15512, 23268, 31024, 46536

Step-4: Factors of 93079

List of positive integer factors of 93079 that divides 93072 without a remainder.

1, 7, 13297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93072 and 93079. The biggest common factor number is the GCF number.
So the greatest common factor 93072 and 93079 is 7.

Also check out the Least Common Multiple of 93072 and 93079