What is the Greatest Common Factor of 48555 and 48570?

Greatest common factor (GCF) of 48555 and 48570 is 15.

GCF(48555,48570) = 15

We will now calculate the prime factors of 48555 and 48570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48555 and 48570.

How to find the GCF of 48555 and 48570?

We will first find the prime factorization of 48555 and 48570. After we will calculate the factors of 48555 and 48570 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48570

Prime factors of 48570 are 2, 3, 5, 1619. Prime factorization of 48570 in exponential form is:

48570 = 2¹ × 3¹ × 5¹ × 1619¹

Step-3: Factors of 48555

List of positive integer factors of 48555 that divides 48555 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

Step-4: Factors of 48570

List of positive integer factors of 48570 that divides 48555 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1619, 3238, 4857, 8095, 9714, 16190, 24285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48555 and 48570. The biggest common factor number is the GCF number.
So the greatest common factor 48555 and 48570 is 15.

Also check out the Least Common Multiple of 48555 and 48570