What is the Greatest Common Factor of 48520 and 48538?

Greatest common factor (GCF) of 48520 and 48538 is 2.

GCF(48520,48538) = 2

We will now calculate the prime factors of 48520 and 48538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48520 and 48538.

How to find the GCF of 48520 and 48538?

We will first find the prime factorization of 48520 and 48538. After we will calculate the factors of 48520 and 48538 and find the biggest common factor number .

Step-1: Prime Factorization of 48520

Prime factors of 48520 are 2, 5, 1213. Prime factorization of 48520 in exponential form is:

48520 = 2³ × 5¹ × 1213¹

Step-2: Prime Factorization of 48538

Prime factors of 48538 are 2, 7, 3467. Prime factorization of 48538 in exponential form is:

48538 = 2¹ × 7¹ × 3467¹

Step-3: Factors of 48520

List of positive integer factors of 48520 that divides 48520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1213, 2426, 4852, 6065, 9704, 12130, 24260

Step-4: Factors of 48538

List of positive integer factors of 48538 that divides 48520 without a remainder.

1, 2, 7, 14, 3467, 6934, 24269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48520 and 48538. The biggest common factor number is the GCF number.
So the greatest common factor 48520 and 48538 is 2.

Also check out the Least Common Multiple of 48520 and 48538