What is the Greatest Common Factor of 76954 and 76960?

Greatest common factor (GCF) of 76954 and 76960 is 2.

GCF(76954,76960) = 2

We will now calculate the prime factors of 76954 and 76960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76954 and 76960.

How to find the GCF of 76954 and 76960?

We will first find the prime factorization of 76954 and 76960. After we will calculate the factors of 76954 and 76960 and find the biggest common factor number .

Step-1: Prime Factorization of 76954

Prime factors of 76954 are 2, 109, 353. Prime factorization of 76954 in exponential form is:

76954 = 2¹ × 109¹ × 353¹

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 76954

List of positive integer factors of 76954 that divides 76954 without a remainder.

1, 2, 109, 218, 353, 706, 38477

Step-4: Factors of 76960

List of positive integer factors of 76960 that divides 76954 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 76954 and 76960. The biggest common factor number is the GCF number.
So the greatest common factor 76954 and 76960 is 2.

Also check out the Least Common Multiple of 76954 and 76960