What is the Greatest Common Factor of 93072 and 93082?

Greatest common factor (GCF) of 93072 and 93082 is 2.

GCF(93072,93082) = 2

We will now calculate the prime factors of 93072 and 93082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93072 and 93082.

How to find the GCF of 93072 and 93082?

We will first find the prime factorization of 93072 and 93082. After we will calculate the factors of 93072 and 93082 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 93082

Prime factors of 93082 are 2, 11, 4231. Prime factorization of 93082 in exponential form is:

93082 = 2¹ × 11¹ × 4231¹

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 93082

List of positive integer factors of 93082 that divides 93072 without a remainder.

1, 2, 11, 22, 4231, 8462, 46541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93072 and 93082. The biggest common factor number is the GCF number.
So the greatest common factor 93072 and 93082 is 2.

Also check out the Least Common Multiple of 93072 and 93082