What is the Greatest Common Factor of 76560 and 76580?

Greatest common factor (GCF) of 76560 and 76580 is 20.

GCF(76560,76580) = 20

We will now calculate the prime factors of 76560 and 76580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76560 and 76580.

How to find the GCF of 76560 and 76580?

We will first find the prime factorization of 76560 and 76580. After we will calculate the factors of 76560 and 76580 and find the biggest common factor number .

Step-1: Prime Factorization of 76560

Prime factors of 76560 are 2, 3, 5, 11, 29. Prime factorization of 76560 in exponential form is:

76560 = 2⁴ × 3¹ × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 76580

Prime factors of 76580 are 2, 5, 7, 547. Prime factorization of 76580 in exponential form is:

76580 = 2² × 5¹ × 7¹ × 547¹

Step-3: Factors of 76560

List of positive integer factors of 76560 that divides 76560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 29, 30, 33, 40, 44, 48, 55, 58, 60, 66, 80, 87, 88, 110, 116, 120, 132, 145, 165, 174, 176, 220, 232, 240, 264, 290, 319, 330, 348, 435, 440, 464, 528, 580, 638, 660, 696, 870, 880, 957, 1160, 1276, 1320, 1392, 1595, 1740, 1914, 2320, 2552, 2640, 3190, 3480, 3828, 4785, 5104, 6380, 6960, 7656, 9570, 12760, 15312, 19140, 25520, 38280

Step-4: Factors of 76580

List of positive integer factors of 76580 that divides 76560 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 547, 1094, 2188, 2735, 3829, 5470, 7658, 10940, 15316, 19145, 38290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76560 and 76580. The biggest common factor number is the GCF number.
So the greatest common factor 76560 and 76580 is 20.

Also check out the Least Common Multiple of 76560 and 76580