What is the Greatest Common Factor of 54974 and 54982?

Greatest common factor (GCF) of 54974 and 54982 is 2.

GCF(54974,54982) = 2

We will now calculate the prime factors of 54974 and 54982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54974 and 54982.

How to find the GCF of 54974 and 54982?

We will first find the prime factorization of 54974 and 54982. After we will calculate the factors of 54974 and 54982 and find the biggest common factor number .

Step-1: Prime Factorization of 54974

Prime factors of 54974 are 2, 27487. Prime factorization of 54974 in exponential form is:

54974 = 2¹ × 27487¹

Step-2: Prime Factorization of 54982

Prime factors of 54982 are 2, 37, 743. Prime factorization of 54982 in exponential form is:

54982 = 2¹ × 37¹ × 743¹

Step-3: Factors of 54974

List of positive integer factors of 54974 that divides 54974 without a remainder.

1, 2, 27487

Step-4: Factors of 54982

List of positive integer factors of 54982 that divides 54974 without a remainder.

1, 2, 37, 74, 743, 1486, 27491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54974 and 54982. The biggest common factor number is the GCF number.
So the greatest common factor 54974 and 54982 is 2.

Also check out the Least Common Multiple of 54974 and 54982