What is the Greatest Common Factor of 76050 and 76064?

Greatest common factor (GCF) of 76050 and 76064 is 2.

GCF(76050,76064) = 2

We will now calculate the prime factors of 76050 and 76064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76050 and 76064.

How to find the GCF of 76050 and 76064?

We will first find the prime factorization of 76050 and 76064. After we will calculate the factors of 76050 and 76064 and find the biggest common factor number .

Step-1: Prime Factorization of 76050

Prime factors of 76050 are 2, 3, 5, 13. Prime factorization of 76050 in exponential form is:

76050 = 2¹ × 3² × 5² × 13²

Step-2: Prime Factorization of 76064

Prime factors of 76064 are 2, 2377. Prime factorization of 76064 in exponential form is:

76064 = 2⁵ × 2377¹

Step-3: Factors of 76050

List of positive integer factors of 76050 that divides 76050 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 169, 195, 225, 234, 325, 338, 390, 450, 507, 585, 650, 845, 975, 1014, 1170, 1521, 1690, 1950, 2535, 2925, 3042, 4225, 5070, 5850, 7605, 8450, 12675, 15210, 25350, 38025

Step-4: Factors of 76064

List of positive integer factors of 76064 that divides 76050 without a remainder.

1, 2, 4, 8, 16, 32, 2377, 4754, 9508, 19016, 38032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76050 and 76064. The biggest common factor number is the GCF number.
So the greatest common factor 76050 and 76064 is 2.

Also check out the Least Common Multiple of 76050 and 76064