What is the Greatest Common Factor of 76960 and 76964?

Greatest common factor (GCF) of 76960 and 76964 is 4.

GCF(76960,76964) = 4

We will now calculate the prime factors of 76960 and 76964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76960 and 76964.

How to find the GCF of 76960 and 76964?

We will first find the prime factorization of 76960 and 76964. After we will calculate the factors of 76960 and 76964 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 76964

Prime factors of 76964 are 2, 71, 271. Prime factorization of 76964 in exponential form is:

76964 = 2² × 71¹ × 271¹

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 76964

List of positive integer factors of 76964 that divides 76960 without a remainder.

1, 2, 4, 71, 142, 271, 284, 542, 1084, 19241, 38482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76960 and 76964. The biggest common factor number is the GCF number.
So the greatest common factor 76960 and 76964 is 4.

Also check out the Least Common Multiple of 76960 and 76964