What is the Greatest Common Factor of 78056 and 78072?

Greatest common factor (GCF) of 78056 and 78072 is 8.

GCF(78056,78072) = 8

We will now calculate the prime factors of 78056 and 78072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78056 and 78072.

How to find the GCF of 78056 and 78072?

We will first find the prime factorization of 78056 and 78072. After we will calculate the factors of 78056 and 78072 and find the biggest common factor number .

Step-1: Prime Factorization of 78056

Prime factors of 78056 are 2, 11, 887. Prime factorization of 78056 in exponential form is:

78056 = 2³ × 11¹ × 887¹

Step-2: Prime Factorization of 78072

Prime factors of 78072 are 2, 3, 3253. Prime factorization of 78072 in exponential form is:

78072 = 2³ × 3¹ × 3253¹

Step-3: Factors of 78056

List of positive integer factors of 78056 that divides 78056 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 887, 1774, 3548, 7096, 9757, 19514, 39028

Step-4: Factors of 78072

List of positive integer factors of 78072 that divides 78056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3253, 6506, 9759, 13012, 19518, 26024, 39036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78056 and 78072. The biggest common factor number is the GCF number.
So the greatest common factor 78056 and 78072 is 8.

Also check out the Least Common Multiple of 78056 and 78072