What is the Greatest Common Factor of 76960 and 76971?

Greatest common factor (GCF) of 76960 and 76971 is 1.

GCF(76960,76971) = 1

We will now calculate the prime factors of 76960 and 76971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76960 and 76971.

How to find the GCF of 76960 and 76971?

We will first find the prime factorization of 76960 and 76971. After we will calculate the factors of 76960 and 76971 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 76971

Prime factors of 76971 are 3, 25657. Prime factorization of 76971 in exponential form is:

76971 = 3¹ × 25657¹

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 76971

List of positive integer factors of 76971 that divides 76960 without a remainder.

1, 3, 25657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76960 and 76971. The biggest common factor number is the GCF number.
So the greatest common factor 76960 and 76971 is 1.

Also check out the Least Common Multiple of 76960 and 76971