What is the Greatest Common Factor of 5922 and 5932?

Greatest common factor (GCF) of 5922 and 5932 is 2.

GCF(5922,5932) = 2

We will now calculate the prime factors of 5922 and 5932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5922 and 5932.

How to find the GCF of 5922 and 5932?

We will first find the prime factorization of 5922 and 5932. After we will calculate the factors of 5922 and 5932 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 5932

Prime factors of 5932 are 2, 1483. Prime factorization of 5932 in exponential form is:

5932 = 2² × 1483¹

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 5932

List of positive integer factors of 5932 that divides 5922 without a remainder.

1, 2, 4, 1483, 2966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5922 and 5932. The biggest common factor number is the GCF number.
So the greatest common factor 5922 and 5932 is 2.

Also check out the Least Common Multiple of 5922 and 5932