What is the Greatest Common Factor of 48540 and 48550?

Greatest common factor (GCF) of 48540 and 48550 is 10.

GCF(48540,48550) = 10

We will now calculate the prime factors of 48540 and 48550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48540 and 48550.

How to find the GCF of 48540 and 48550?

We will first find the prime factorization of 48540 and 48550. After we will calculate the factors of 48540 and 48550 and find the biggest common factor number .

Step-1: Prime Factorization of 48540

Prime factors of 48540 are 2, 3, 5, 809. Prime factorization of 48540 in exponential form is:

48540 = 2² × 3¹ × 5¹ × 809¹

Step-2: 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-3: Factors of 48540

List of positive integer factors of 48540 that divides 48540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 809, 1618, 2427, 3236, 4045, 4854, 8090, 9708, 12135, 16180, 24270

Step-4: Factors of 48550

List of positive integer factors of 48550 that divides 48540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48540 and 48550. The biggest common factor number is the GCF number.
So the greatest common factor 48540 and 48550 is 10.

Also check out the Least Common Multiple of 48540 and 48550