What is the Greatest Common Factor of 76560 and 76570?

Greatest common factor (GCF) of 76560 and 76570 is 10.

GCF(76560,76570) = 10

We will now calculate the prime factors of 76560 and 76570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76560 and 76570.

How to find the GCF of 76560 and 76570?

We will first find the prime factorization of 76560 and 76570. After we will calculate the factors of 76560 and 76570 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 76570

Prime factors of 76570 are 2, 5, 13, 19, 31. Prime factorization of 76570 in exponential form is:

76570 = 2¹ × 5¹ × 13¹ × 19¹ × 31¹

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 76570

List of positive integer factors of 76570 that divides 76560 without a remainder.

1, 2, 5, 10, 13, 19, 26, 31, 38, 62, 65, 95, 130, 155, 190, 247, 310, 403, 494, 589, 806, 1178, 1235, 2015, 2470, 2945, 4030, 5890, 7657, 15314, 38285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76560 and 76570. The biggest common factor number is the GCF number.
So the greatest common factor 76560 and 76570 is 10.

Also check out the Least Common Multiple of 76560 and 76570