What is the Greatest Common Factor of 75939 and 75956?

Greatest common factor (GCF) of 75939 and 75956 is 17.

GCF(75939,75956) = 17

We will now calculate the prime factors of 75939 and 75956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75939 and 75956.

How to find the GCF of 75939 and 75956?

We will first find the prime factorization of 75939 and 75956. After we will calculate the factors of 75939 and 75956 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75956

Prime factors of 75956 are 2, 17, 1117. Prime factorization of 75956 in exponential form is:

75956 = 2² × 17¹ × 1117¹

Step-3: Factors of 75939

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

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

Step-4: Factors of 75956

List of positive integer factors of 75956 that divides 75939 without a remainder.

1, 2, 4, 17, 34, 68, 1117, 2234, 4468, 18989, 37978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75939 and 75956. The biggest common factor number is the GCF number.
So the greatest common factor 75939 and 75956 is 17.

Also check out the Least Common Multiple of 75939 and 75956