What is the Greatest Common Factor of 75924 and 75943?

Greatest common factor (GCF) of 75924 and 75943 is 19.

GCF(75924,75943) = 19

We will now calculate the prime factors of 75924 and 75943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75924 and 75943.

How to find the GCF of 75924 and 75943?

We will first find the prime factorization of 75924 and 75943. After we will calculate the factors of 75924 and 75943 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 75943

Prime factors of 75943 are 7, 19, 571. Prime factorization of 75943 in exponential form is:

75943 = 7¹ × 19¹ × 571¹

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 75943

List of positive integer factors of 75943 that divides 75924 without a remainder.

1, 7, 19, 133, 571, 3997, 10849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75924 and 75943. The biggest common factor number is the GCF number.
So the greatest common factor 75924 and 75943 is 19.

Also check out the Least Common Multiple of 75924 and 75943