What is the Greatest Common Factor of 49520 and 49540?

Greatest common factor (GCF) of 49520 and 49540 is 20.

GCF(49520,49540) = 20

We will now calculate the prime factors of 49520 and 49540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49520 and 49540.

How to find the GCF of 49520 and 49540?

We will first find the prime factorization of 49520 and 49540. After we will calculate the factors of 49520 and 49540 and find the biggest common factor number .

Step-1: Prime Factorization of 49520

Prime factors of 49520 are 2, 5, 619. Prime factorization of 49520 in exponential form is:

49520 = 2⁴ × 5¹ × 619¹

Step-2: Prime Factorization of 49540

Prime factors of 49540 are 2, 5, 2477. Prime factorization of 49540 in exponential form is:

49540 = 2² × 5¹ × 2477¹

Step-3: Factors of 49520

List of positive integer factors of 49520 that divides 49520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 619, 1238, 2476, 3095, 4952, 6190, 9904, 12380, 24760

Step-4: Factors of 49540

List of positive integer factors of 49540 that divides 49520 without a remainder.

1, 2, 4, 5, 10, 20, 2477, 4954, 9908, 12385, 24770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49520 and 49540. The biggest common factor number is the GCF number.
So the greatest common factor 49520 and 49540 is 20.

Also check out the Least Common Multiple of 49520 and 49540