What is the Greatest Common Factor of 54956 and 54967?

Greatest common factor (GCF) of 54956 and 54967 is 11.

GCF(54956,54967) = 11

We will now calculate the prime factors of 54956 and 54967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54956 and 54967.

How to find the GCF of 54956 and 54967?

We will first find the prime factorization of 54956 and 54967. After we will calculate the factors of 54956 and 54967 and find the biggest common factor number .

Step-1: Prime Factorization of 54956

Prime factors of 54956 are 2, 11, 1249. Prime factorization of 54956 in exponential form is:

54956 = 2² × 11¹ × 1249¹

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 54956

List of positive integer factors of 54956 that divides 54956 without a remainder.

1, 2, 4, 11, 22, 44, 1249, 2498, 4996, 13739, 27478

Step-4: Factors of 54967

List of positive integer factors of 54967 that divides 54956 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54956 and 54967. The biggest common factor number is the GCF number.
So the greatest common factor 54956 and 54967 is 11.

Also check out the Least Common Multiple of 54956 and 54967