What is the Greatest Common Factor of 45924 and 45942?

Greatest common factor (GCF) of 45924 and 45942 is 6.

GCF(45924,45942) = 6

We will now calculate the prime factors of 45924 and 45942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45924 and 45942.

How to find the GCF of 45924 and 45942?

We will first find the prime factorization of 45924 and 45942. After we will calculate the factors of 45924 and 45942 and find the biggest common factor number .

Step-1: Prime Factorization of 45924

Prime factors of 45924 are 2, 3, 43, 89. Prime factorization of 45924 in exponential form is:

45924 = 2² × 3¹ × 43¹ × 89¹

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 45924

List of positive integer factors of 45924 that divides 45924 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 89, 129, 172, 178, 258, 267, 356, 516, 534, 1068, 3827, 7654, 11481, 15308, 22962

Step-4: Factors of 45942

List of positive integer factors of 45942 that divides 45924 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 45924 and 45942. The biggest common factor number is the GCF number.
So the greatest common factor 45924 and 45942 is 6.

Also check out the Least Common Multiple of 45924 and 45942