What is the Greatest Common Factor of 76640 and 76650?

Greatest common factor (GCF) of 76640 and 76650 is 10.

GCF(76640,76650) = 10

We will now calculate the prime factors of 76640 and 76650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76640 and 76650.

How to find the GCF of 76640 and 76650?

We will first find the prime factorization of 76640 and 76650. After we will calculate the factors of 76640 and 76650 and find the biggest common factor number .

Step-1: Prime Factorization of 76640

Prime factors of 76640 are 2, 5, 479. Prime factorization of 76640 in exponential form is:

76640 = 2⁵ × 5¹ × 479¹

Step-2: 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-3: Factors of 76640

List of positive integer factors of 76640 that divides 76640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 479, 958, 1916, 2395, 3832, 4790, 7664, 9580, 15328, 19160, 38320

Step-4: Factors of 76650

List of positive integer factors of 76650 that divides 76640 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76640 and 76650. The biggest common factor number is the GCF number.
So the greatest common factor 76640 and 76650 is 10.

Also check out the Least Common Multiple of 76640 and 76650