What is the Greatest Common Factor of 76540 and 76560?

Greatest common factor (GCF) of 76540 and 76560 is 20.

GCF(76540,76560) = 20

We will now calculate the prime factors of 76540 and 76560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76540 and 76560.

How to find the GCF of 76540 and 76560?

We will first find the prime factorization of 76540 and 76560. After we will calculate the factors of 76540 and 76560 and find the biggest common factor number .

Step-1: Prime Factorization of 76540

Prime factors of 76540 are 2, 5, 43, 89. Prime factorization of 76540 in exponential form is:

76540 = 2² × 5¹ × 43¹ × 89¹

Step-2: 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-3: Factors of 76540

List of positive integer factors of 76540 that divides 76540 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 89, 172, 178, 215, 356, 430, 445, 860, 890, 1780, 3827, 7654, 15308, 19135, 38270

Step-4: Factors of 76560

List of positive integer factors of 76560 that divides 76540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76540 and 76560. The biggest common factor number is the GCF number.
So the greatest common factor 76540 and 76560 is 20.

Also check out the Least Common Multiple of 76540 and 76560