What is the Greatest Common Factor of 5922 and 5929?

Greatest common factor (GCF) of 5922 and 5929 is 7.

GCF(5922,5929) = 7

We will now calculate the prime factors of 5922 and 5929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5922 and 5929.

How to find the GCF of 5922 and 5929?

We will first find the prime factorization of 5922 and 5929. After we will calculate the factors of 5922 and 5929 and find the biggest common factor number .

Step-1: Prime Factorization of 5922

Prime factors of 5922 are 2, 3, 7, 47. Prime factorization of 5922 in exponential form is:

5922 = 2¹ × 3² × 7¹ × 47¹

Step-2: Prime Factorization of 5929

Prime factors of 5929 are 7, 11. Prime factorization of 5929 in exponential form is:

5929 = 7² × 11²

Step-3: Factors of 5922

List of positive integer factors of 5922 that divides 5922 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961

Step-4: Factors of 5929

List of positive integer factors of 5929 that divides 5922 without a remainder.

1, 7, 11, 49, 77, 121, 539, 847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5922 and 5929. The biggest common factor number is the GCF number.
So the greatest common factor 5922 and 5929 is 7.

Also check out the Least Common Multiple of 5922 and 5929