What is the Greatest Common Factor of 49560 and 49580?

Greatest common factor (GCF) of 49560 and 49580 is 20.

GCF(49560,49580) = 20

We will now calculate the prime factors of 49560 and 49580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49560 and 49580.

How to find the GCF of 49560 and 49580?

We will first find the prime factorization of 49560 and 49580. After we will calculate the factors of 49560 and 49580 and find the biggest common factor number .

Step-1: Prime Factorization of 49560

Prime factors of 49560 are 2, 3, 5, 7, 59. Prime factorization of 49560 in exponential form is:

49560 = 2³ × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 49580

Prime factors of 49580 are 2, 5, 37, 67. Prime factorization of 49580 in exponential form is:

49580 = 2² × 5¹ × 37¹ × 67¹

Step-3: Factors of 49560

List of positive integer factors of 49560 that divides 49560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 59, 60, 70, 84, 105, 118, 120, 140, 168, 177, 210, 236, 280, 295, 354, 413, 420, 472, 590, 708, 826, 840, 885, 1180, 1239, 1416, 1652, 1770, 2065, 2360, 2478, 3304, 3540, 4130, 4956, 6195, 7080, 8260, 9912, 12390, 16520, 24780

Step-4: Factors of 49580

List of positive integer factors of 49580 that divides 49560 without a remainder.

1, 2, 4, 5, 10, 20, 37, 67, 74, 134, 148, 185, 268, 335, 370, 670, 740, 1340, 2479, 4958, 9916, 12395, 24790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49560 and 49580. The biggest common factor number is the GCF number.
So the greatest common factor 49560 and 49580 is 20.

Also check out the Least Common Multiple of 49560 and 49580