What is the Greatest Common Factor of 49560 and 49564?

Greatest common factor (GCF) of 49560 and 49564 is 4.

GCF(49560,49564) = 4

We will now calculate the prime factors of 49560 and 49564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49560 and 49564.

How to find the GCF of 49560 and 49564?

We will first find the prime factorization of 49560 and 49564. After we will calculate the factors of 49560 and 49564 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 49564

Prime factors of 49564 are 2, 12391. Prime factorization of 49564 in exponential form is:

49564 = 2² × 12391¹

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 49564

List of positive integer factors of 49564 that divides 49560 without a remainder.

1, 2, 4, 12391, 24782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49560 and 49564. The biggest common factor number is the GCF number.
So the greatest common factor 49560 and 49564 is 4.

Also check out the Least Common Multiple of 49560 and 49564