What is the Greatest Common Factor of 76650 and 76664?

Greatest common factor (GCF) of 76650 and 76664 is 14.

GCF(76650,76664) = 14

We will now calculate the prime factors of 76650 and 76664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76650 and 76664.

How to find the GCF of 76650 and 76664?

We will first find the prime factorization of 76650 and 76664. After we will calculate the factors of 76650 and 76664 and find the biggest common factor number .

Step-1: Prime Factorization of 76650

Prime factors of 76650 are 2, 3, 5, 7, 73. Prime factorization of 76650 in exponential form is:

76650 = 2¹ × 3¹ × 5² × 7¹ × 73¹

Step-2: Prime Factorization of 76664

Prime factors of 76664 are 2, 7, 37. Prime factorization of 76664 in exponential form is:

76664 = 2³ × 7¹ × 37²

Step-3: Factors of 76650

List of positive integer factors of 76650 that divides 76650 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 73, 75, 105, 146, 150, 175, 210, 219, 350, 365, 438, 511, 525, 730, 1022, 1050, 1095, 1533, 1825, 2190, 2555, 3066, 3650, 5110, 5475, 7665, 10950, 12775, 15330, 25550, 38325

Step-4: Factors of 76664

List of positive integer factors of 76664 that divides 76650 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 1369, 2072, 2738, 5476, 9583, 10952, 19166, 38332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76650 and 76664. The biggest common factor number is the GCF number.
So the greatest common factor 76650 and 76664 is 14.

Also check out the Least Common Multiple of 76650 and 76664