What is the Greatest Common Factor of 75922 and 75939?

Greatest common factor (GCF) of 75922 and 75939 is 17.

GCF(75922,75939) = 17

We will now calculate the prime factors of 75922 and 75939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75922 and 75939.

How to find the GCF of 75922 and 75939?

We will first find the prime factorization of 75922 and 75939. After we will calculate the factors of 75922 and 75939 and find the biggest common factor number .

Step-1: Prime Factorization of 75922

Prime factors of 75922 are 2, 7, 11, 17, 29. Prime factorization of 75922 in exponential form is:

75922 = 2¹ × 7¹ × 11¹ × 17¹ × 29¹

Step-2: Prime Factorization of 75939

Prime factors of 75939 are 3, 17, 1489. Prime factorization of 75939 in exponential form is:

75939 = 3¹ × 17¹ × 1489¹

Step-3: Factors of 75922

List of positive integer factors of 75922 that divides 75922 without a remainder.

1, 2, 7, 11, 14, 17, 22, 29, 34, 58, 77, 119, 154, 187, 203, 238, 319, 374, 406, 493, 638, 986, 1309, 2233, 2618, 3451, 4466, 5423, 6902, 10846, 37961

Step-4: Factors of 75939

List of positive integer factors of 75939 that divides 75922 without a remainder.

1, 3, 17, 51, 1489, 4467, 25313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75922 and 75939. The biggest common factor number is the GCF number.
So the greatest common factor 75922 and 75939 is 17.

Also check out the Least Common Multiple of 75922 and 75939