What is the Greatest Common Factor of 48546 and 48560?

Greatest common factor (GCF) of 48546 and 48560 is 2.

GCF(48546,48560) = 2

We will now calculate the prime factors of 48546 and 48560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48546 and 48560.

How to find the GCF of 48546 and 48560?

We will first find the prime factorization of 48546 and 48560. After we will calculate the factors of 48546 and 48560 and find the biggest common factor number .

Step-1: Prime Factorization of 48546

Prime factors of 48546 are 2, 3, 29, 31. Prime factorization of 48546 in exponential form is:

48546 = 2¹ × 3³ × 29¹ × 31¹

Step-2: 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-3: Factors of 48546

List of positive integer factors of 48546 that divides 48546 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 31, 54, 58, 62, 87, 93, 174, 186, 261, 279, 522, 558, 783, 837, 899, 1566, 1674, 1798, 2697, 5394, 8091, 16182, 24273

Step-4: Factors of 48560

List of positive integer factors of 48560 that divides 48546 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48546 and 48560. The biggest common factor number is the GCF number.
So the greatest common factor 48546 and 48560 is 2.

Also check out the Least Common Multiple of 48546 and 48560