What is the Greatest Common Factor of 75924 and 75935?

Greatest common factor (GCF) of 75924 and 75935 is 1.

GCF(75924,75935) = 1

We will now calculate the prime factors of 75924 and 75935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75924 and 75935.

How to find the GCF of 75924 and 75935?

We will first find the prime factorization of 75924 and 75935. After we will calculate the factors of 75924 and 75935 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 75935

Prime factors of 75935 are 5, 15187. Prime factorization of 75935 in exponential form is:

75935 = 5¹ × 15187¹

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 75935

List of positive integer factors of 75935 that divides 75924 without a remainder.

1, 5, 15187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75924 and 75935. The biggest common factor number is the GCF number.
So the greatest common factor 75924 and 75935 is 1.

Also check out the Least Common Multiple of 75924 and 75935