What is the Greatest Common Factor of 75924 and 75942?

Greatest common factor (GCF) of 75924 and 75942 is 18.

GCF(75924,75942) = 18

We will now calculate the prime factors of 75924 and 75942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75924 and 75942.

How to find the GCF of 75924 and 75942?

We will first find the prime factorization of 75924 and 75942. After we will calculate the factors of 75924 and 75942 and find the biggest common factor number .

Step-1: Prime Factorization of 75924

Prime factors of 75924 are 2, 3, 19, 37. Prime factorization of 75924 in exponential form is:

75924 = 2² × 3³ × 19¹ × 37¹

Step-2: Prime Factorization of 75942

Prime factors of 75942 are 2, 3, 4219. Prime factorization of 75942 in exponential form is:

75942 = 2¹ × 3² × 4219¹

Step-3: Factors of 75924

List of positive integer factors of 75924 that divides 75924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 37, 38, 54, 57, 74, 76, 108, 111, 114, 148, 171, 222, 228, 333, 342, 444, 513, 666, 684, 703, 999, 1026, 1332, 1406, 1998, 2052, 2109, 2812, 3996, 4218, 6327, 8436, 12654, 18981, 25308, 37962

Step-4: Factors of 75942

List of positive integer factors of 75942 that divides 75924 without a remainder.

1, 2, 3, 6, 9, 18, 4219, 8438, 12657, 25314, 37971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75924 and 75942. The biggest common factor number is the GCF number.
So the greatest common factor 75924 and 75942 is 18.

Also check out the Least Common Multiple of 75924 and 75942