What is the Greatest Common Factor of 5922 and 5936?

Greatest common factor (GCF) of 5922 and 5936 is 14.

GCF(5922,5936) = 14

We will now calculate the prime factors of 5922 and 5936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5922 and 5936.

How to find the GCF of 5922 and 5936?

We will first find the prime factorization of 5922 and 5936. After we will calculate the factors of 5922 and 5936 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 5936

Prime factors of 5936 are 2, 7, 53. Prime factorization of 5936 in exponential form is:

5936 = 2⁴ × 7¹ × 53¹

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 5936

List of positive integer factors of 5936 that divides 5922 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5922 and 5936. The biggest common factor number is the GCF number.
So the greatest common factor 5922 and 5936 is 14.

Also check out the Least Common Multiple of 5922 and 5936