What is the Greatest Common Factor of 54922 and 54929?

Greatest common factor (GCF) of 54922 and 54929 is 7.

GCF(54922,54929) = 7

We will now calculate the prime factors of 54922 and 54929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54922 and 54929.

How to find the GCF of 54922 and 54929?

We will first find the prime factorization of 54922 and 54929. After we will calculate the factors of 54922 and 54929 and find the biggest common factor number .

Step-1: Prime Factorization of 54922

Prime factors of 54922 are 2, 7, 3923. Prime factorization of 54922 in exponential form is:

54922 = 2¹ × 7¹ × 3923¹

Step-2: 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-3: Factors of 54922

List of positive integer factors of 54922 that divides 54922 without a remainder.

1, 2, 7, 14, 3923, 7846, 27461

Step-4: Factors of 54929

List of positive integer factors of 54929 that divides 54922 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54922 and 54929. The biggest common factor number is the GCF number.
So the greatest common factor 54922 and 54929 is 7.

Also check out the Least Common Multiple of 54922 and 54929