What is the Greatest Common Factor of 49520 and 49530?

Greatest common factor (GCF) of 49520 and 49530 is 10.

GCF(49520,49530) = 10

We will now calculate the prime factors of 49520 and 49530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49520 and 49530.

How to find the GCF of 49520 and 49530?

We will first find the prime factorization of 49520 and 49530. After we will calculate the factors of 49520 and 49530 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 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-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 49530

List of positive integer factors of 49530 that divides 49520 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49520 and 49530. The biggest common factor number is the GCF number.
So the greatest common factor 49520 and 49530 is 10.

Also check out the Least Common Multiple of 49520 and 49530