What is the Greatest Common Factor of 56972 and 56978?

Greatest common factor (GCF) of 56972 and 56978 is 2.

GCF(56972,56978) = 2

We will now calculate the prime factors of 56972 and 56978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56972 and 56978.

How to find the GCF of 56972 and 56978?

We will first find the prime factorization of 56972 and 56978. After we will calculate the factors of 56972 and 56978 and find the biggest common factor number .

Step-1: Prime Factorization of 56972

Prime factors of 56972 are 2, 14243. Prime factorization of 56972 in exponential form is:

56972 = 2² × 14243¹

Step-2: Prime Factorization of 56978

Prime factors of 56978 are 2, 31, 919. Prime factorization of 56978 in exponential form is:

56978 = 2¹ × 31¹ × 919¹

Step-3: Factors of 56972

List of positive integer factors of 56972 that divides 56972 without a remainder.

1, 2, 4, 14243, 28486

Step-4: Factors of 56978

List of positive integer factors of 56978 that divides 56972 without a remainder.

1, 2, 31, 62, 919, 1838, 28489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56972 and 56978. The biggest common factor number is the GCF number.
So the greatest common factor 56972 and 56978 is 2.

Also check out the Least Common Multiple of 56972 and 56978