What is the Greatest Common Factor of 48542 and 48555?

Greatest common factor (GCF) of 48542 and 48555 is 13.

GCF(48542,48555) = 13

We will now calculate the prime factors of 48542 and 48555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48542 and 48555.

How to find the GCF of 48542 and 48555?

We will first find the prime factorization of 48542 and 48555. After we will calculate the factors of 48542 and 48555 and find the biggest common factor number .

Step-1: Prime Factorization of 48542

Prime factors of 48542 are 2, 13, 1867. Prime factorization of 48542 in exponential form is:

48542 = 2¹ × 13¹ × 1867¹

Step-2: Prime Factorization of 48555

Prime factors of 48555 are 3, 5, 13, 83. Prime factorization of 48555 in exponential form is:

48555 = 3² × 5¹ × 13¹ × 83¹

Step-3: Factors of 48542

List of positive integer factors of 48542 that divides 48542 without a remainder.

1, 2, 13, 26, 1867, 3734, 24271

Step-4: Factors of 48555

List of positive integer factors of 48555 that divides 48542 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 83, 117, 195, 249, 415, 585, 747, 1079, 1245, 3237, 3735, 5395, 9711, 16185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48542 and 48555. The biggest common factor number is the GCF number.
So the greatest common factor 48542 and 48555 is 13.

Also check out the Least Common Multiple of 48542 and 48555