What is the Greatest Common Factor of 54929 and 54948?

Greatest common factor (GCF) of 54929 and 54948 is 19.

GCF(54929,54948) = 19

We will now calculate the prime factors of 54929 and 54948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54929 and 54948.

How to find the GCF of 54929 and 54948?

We will first find the prime factorization of 54929 and 54948. After we will calculate the factors of 54929 and 54948 and find the biggest common factor number .

Step-1: Prime Factorization of 54929

Prime factors of 54929 are 7, 19, 59. Prime factorization of 54929 in exponential form is:

54929 = 7² × 19¹ × 59¹

Step-2: 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-3: Factors of 54929

List of positive integer factors of 54929 that divides 54929 without a remainder.

1, 7, 19, 49, 59, 133, 413, 931, 1121, 2891, 7847

Step-4: Factors of 54948

List of positive integer factors of 54948 that divides 54929 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54929 and 54948. The biggest common factor number is the GCF number.
So the greatest common factor 54929 and 54948 is 19.

Also check out the Least Common Multiple of 54929 and 54948