What is the Greatest Common Factor of 76940 and 76960?

Greatest common factor (GCF) of 76940 and 76960 is 20.

GCF(76940,76960) = 20

We will now calculate the prime factors of 76940 and 76960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76940 and 76960.

How to find the GCF of 76940 and 76960?

We will first find the prime factorization of 76940 and 76960. After we will calculate the factors of 76940 and 76960 and find the biggest common factor number .

Step-1: Prime Factorization of 76940

Prime factors of 76940 are 2, 5, 3847. Prime factorization of 76940 in exponential form is:

76940 = 2² × 5¹ × 3847¹

Step-2: 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-3: Factors of 76940

List of positive integer factors of 76940 that divides 76940 without a remainder.

1, 2, 4, 5, 10, 20, 3847, 7694, 15388, 19235, 38470

Step-4: Factors of 76960

List of positive integer factors of 76960 that divides 76940 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76940 and 76960. The biggest common factor number is the GCF number.
So the greatest common factor 76940 and 76960 is 20.

Also check out the Least Common Multiple of 76940 and 76960