What is the Greatest Common Factor of 48560 and 48566?

Greatest common factor (GCF) of 48560 and 48566 is 2.

GCF(48560,48566) = 2

We will now calculate the prime factors of 48560 and 48566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48560 and 48566.

How to find the GCF of 48560 and 48566?

We will first find the prime factorization of 48560 and 48566. After we will calculate the factors of 48560 and 48566 and find the biggest common factor number .

Step-1: Prime Factorization of 48560

Prime factors of 48560 are 2, 5, 607. Prime factorization of 48560 in exponential form is:

48560 = 2⁴ × 5¹ × 607¹

Step-2: Prime Factorization of 48566

Prime factors of 48566 are 2, 7, 3469. Prime factorization of 48566 in exponential form is:

48566 = 2¹ × 7¹ × 3469¹

Step-3: Factors of 48560

List of positive integer factors of 48560 that divides 48560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 607, 1214, 2428, 3035, 4856, 6070, 9712, 12140, 24280

Step-4: Factors of 48566

List of positive integer factors of 48566 that divides 48560 without a remainder.

1, 2, 7, 14, 3469, 6938, 24283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48560 and 48566. The biggest common factor number is the GCF number.
So the greatest common factor 48560 and 48566 is 2.

Also check out the Least Common Multiple of 48560 and 48566