What is the Greatest Common Factor of 56077 and 56084?

Greatest common factor (GCF) of 56077 and 56084 is 7.

GCF(56077,56084) = 7

We will now calculate the prime factors of 56077 and 56084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56077 and 56084.

How to find the GCF of 56077 and 56084?

We will first find the prime factorization of 56077 and 56084. After we will calculate the factors of 56077 and 56084 and find the biggest common factor number .

Step-1: Prime Factorization of 56077

Prime factors of 56077 are 7, 8011. Prime factorization of 56077 in exponential form is:

56077 = 7¹ × 8011¹

Step-2: Prime Factorization of 56084

Prime factors of 56084 are 2, 7, 2003. Prime factorization of 56084 in exponential form is:

56084 = 2² × 7¹ × 2003¹

Step-3: Factors of 56077

List of positive integer factors of 56077 that divides 56077 without a remainder.

1, 7, 8011

Step-4: Factors of 56084

List of positive integer factors of 56084 that divides 56077 without a remainder.

1, 2, 4, 7, 14, 28, 2003, 4006, 8012, 14021, 28042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56077 and 56084. The biggest common factor number is the GCF number.
So the greatest common factor 56077 and 56084 is 7.

Also check out the Least Common Multiple of 56077 and 56084