What is the Greatest Common Factor of 75924 and 75938?

Greatest common factor (GCF) of 75924 and 75938 is 2.

GCF(75924,75938) = 2

We will now calculate the prime factors of 75924 and 75938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75924 and 75938.

How to find the GCF of 75924 and 75938?

We will first find the prime factorization of 75924 and 75938. After we will calculate the factors of 75924 and 75938 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 75938

Prime factors of 75938 are 2, 43, 883. Prime factorization of 75938 in exponential form is:

75938 = 2¹ × 43¹ × 883¹

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 75938

List of positive integer factors of 75938 that divides 75924 without a remainder.

1, 2, 43, 86, 883, 1766, 37969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75924 and 75938. The biggest common factor number is the GCF number.
So the greatest common factor 75924 and 75938 is 2.

Also check out the Least Common Multiple of 75924 and 75938