What is the Greatest Common Factor of 54929 and 54943?

Greatest common factor (GCF) of 54929 and 54943 is 7.

GCF(54929,54943) = 7

We will now calculate the prime factors of 54929 and 54943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54929 and 54943.

How to find the GCF of 54929 and 54943?

We will first find the prime factorization of 54929 and 54943. After we will calculate the factors of 54929 and 54943 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 54943

Prime factors of 54943 are 7, 47, 167. Prime factorization of 54943 in exponential form is:

54943 = 7¹ × 47¹ × 167¹

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 54943

List of positive integer factors of 54943 that divides 54929 without a remainder.

1, 7, 47, 167, 329, 1169, 7849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54929 and 54943. The biggest common factor number is the GCF number.
So the greatest common factor 54929 and 54943 is 7.

Also check out the Least Common Multiple of 54929 and 54943