What is the Greatest Common Factor of 48550 and 48570?

Greatest common factor (GCF) of 48550 and 48570 is 10.

GCF(48550,48570) = 10

We will now calculate the prime factors of 48550 and 48570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48550 and 48570.

How to find the GCF of 48550 and 48570?

We will first find the prime factorization of 48550 and 48570. After we will calculate the factors of 48550 and 48570 and find the biggest common factor number .

Step-1: Prime Factorization of 48550

Prime factors of 48550 are 2, 5, 971. Prime factorization of 48550 in exponential form is:

48550 = 2¹ × 5² × 971¹

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 48550

List of positive integer factors of 48550 that divides 48550 without a remainder.

1, 2, 5, 10, 25, 50, 971, 1942, 4855, 9710, 24275

Step-4: Factors of 48570

List of positive integer factors of 48570 that divides 48550 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 48550 and 48570. The biggest common factor number is the GCF number.
So the greatest common factor 48550 and 48570 is 10.

Also check out the Least Common Multiple of 48550 and 48570