What is the Greatest Common Factor of 45928 and 45942?

Greatest common factor (GCF) of 45928 and 45942 is 2.

GCF(45928,45942) = 2

We will now calculate the prime factors of 45928 and 45942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45928 and 45942.

How to find the GCF of 45928 and 45942?

We will first find the prime factorization of 45928 and 45942. After we will calculate the factors of 45928 and 45942 and find the biggest common factor number .

Step-1: Prime Factorization of 45928

Prime factors of 45928 are 2, 5741. Prime factorization of 45928 in exponential form is:

45928 = 2³ × 5741¹

Step-2: Prime Factorization of 45942

Prime factors of 45942 are 2, 3, 13, 19, 31. Prime factorization of 45942 in exponential form is:

45942 = 2¹ × 3¹ × 13¹ × 19¹ × 31¹

Step-3: Factors of 45928

List of positive integer factors of 45928 that divides 45928 without a remainder.

1, 2, 4, 8, 5741, 11482, 22964

Step-4: Factors of 45942

List of positive integer factors of 45942 that divides 45928 without a remainder.

1, 2, 3, 6, 13, 19, 26, 31, 38, 39, 57, 62, 78, 93, 114, 186, 247, 403, 494, 589, 741, 806, 1178, 1209, 1482, 1767, 2418, 3534, 7657, 15314, 22971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45928 and 45942. The biggest common factor number is the GCF number.
So the greatest common factor 45928 and 45942 is 2.

Also check out the Least Common Multiple of 45928 and 45942