What is the Greatest Common Factor of 54948 and 54967?

Greatest common factor (GCF) of 54948 and 54967 is 19.

GCF(54948,54967) = 19

We will now calculate the prime factors of 54948 and 54967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54948 and 54967.

How to find the GCF of 54948 and 54967?

We will first find the prime factorization of 54948 and 54967. After we will calculate the factors of 54948 and 54967 and find the biggest common factor number .

Step-1: Prime Factorization of 54948

Prime factors of 54948 are 2, 3, 19, 241. Prime factorization of 54948 in exponential form is:

54948 = 2² × 3¹ × 19¹ × 241¹

Step-2: Prime Factorization of 54967

Prime factors of 54967 are 11, 19, 263. Prime factorization of 54967 in exponential form is:

54967 = 11¹ × 19¹ × 263¹

Step-3: Factors of 54948

List of positive integer factors of 54948 that divides 54948 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 241, 482, 723, 964, 1446, 2892, 4579, 9158, 13737, 18316, 27474

Step-4: Factors of 54967

List of positive integer factors of 54967 that divides 54948 without a remainder.

1, 11, 19, 209, 263, 2893, 4997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54948 and 54967. The biggest common factor number is the GCF number.
So the greatest common factor 54948 and 54967 is 19.

Also check out the Least Common Multiple of 54948 and 54967