What is the Greatest Common Factor of 75947 and 75960?

Greatest common factor (GCF) of 75947 and 75960 is 1.

GCF(75947,75960) = 1

We will now calculate the prime factors of 75947 and 75960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75947 and 75960.

How to find the GCF of 75947 and 75960?

We will first find the prime factorization of 75947 and 75960. After we will calculate the factors of 75947 and 75960 and find the biggest common factor number .

Step-1: Prime Factorization of 75947

Prime factors of 75947 are 173, 439. Prime factorization of 75947 in exponential form is:

75947 = 173¹ × 439¹

Step-2: Prime Factorization of 75960

Prime factors of 75960 are 2, 3, 5, 211. Prime factorization of 75960 in exponential form is:

75960 = 2³ × 3² × 5¹ × 211¹

Step-3: Factors of 75947

List of positive integer factors of 75947 that divides 75947 without a remainder.

1, 173, 439

Step-4: Factors of 75960

List of positive integer factors of 75960 that divides 75947 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 211, 360, 422, 633, 844, 1055, 1266, 1688, 1899, 2110, 2532, 3165, 3798, 4220, 5064, 6330, 7596, 8440, 9495, 12660, 15192, 18990, 25320, 37980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75947 and 75960. The biggest common factor number is the GCF number.
So the greatest common factor 75947 and 75960 is 1.

Also check out the Least Common Multiple of 75947 and 75960