What is the Greatest Common Factor of 76960 and 76975?

Greatest common factor (GCF) of 76960 and 76975 is 5.

GCF(76960,76975) = 5

We will now calculate the prime factors of 76960 and 76975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76960 and 76975.

How to find the GCF of 76960 and 76975?

We will first find the prime factorization of 76960 and 76975. After we will calculate the factors of 76960 and 76975 and find the biggest common factor number .

Step-1: Prime Factorization of 76960

Prime factors of 76960 are 2, 5, 13, 37. Prime factorization of 76960 in exponential form is:

76960 = 2⁵ × 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 76975

Prime factors of 76975 are 5, 3079. Prime factorization of 76975 in exponential form is:

76975 = 5² × 3079¹

Step-3: Factors of 76960

List of positive integer factors of 76960 that divides 76960 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 37, 40, 52, 65, 74, 80, 104, 130, 148, 160, 185, 208, 260, 296, 370, 416, 481, 520, 592, 740, 962, 1040, 1184, 1480, 1924, 2080, 2405, 2960, 3848, 4810, 5920, 7696, 9620, 15392, 19240, 38480

Step-4: Factors of 76975

List of positive integer factors of 76975 that divides 76960 without a remainder.

1, 5, 25, 3079, 15395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76960 and 76975. The biggest common factor number is the GCF number.
So the greatest common factor 76960 and 76975 is 5.

Also check out the Least Common Multiple of 76960 and 76975