What is the Greatest Common Factor of 49530 and 49540?

Greatest common factor (GCF) of 49530 and 49540 is 10.

GCF(49530,49540) = 10

We will now calculate the prime factors of 49530 and 49540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49530 and 49540.

How to find the GCF of 49530 and 49540?

We will first find the prime factorization of 49530 and 49540. After we will calculate the factors of 49530 and 49540 and find the biggest common factor number .

Step-1: Prime Factorization of 49530

Prime factors of 49530 are 2, 3, 5, 13, 127. Prime factorization of 49530 in exponential form is:

49530 = 2¹ × 3¹ × 5¹ × 13¹ × 127¹

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 49530

List of positive integer factors of 49530 that divides 49530 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 127, 130, 195, 254, 381, 390, 635, 762, 1270, 1651, 1905, 3302, 3810, 4953, 8255, 9906, 16510, 24765

Step-4: Factors of 49540

List of positive integer factors of 49540 that divides 49530 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 49530 and 49540. The biggest common factor number is the GCF number.
So the greatest common factor 49530 and 49540 is 10.

Also check out the Least Common Multiple of 49530 and 49540