What is the Greatest Common Factor of 48528 and 48546?

Greatest common factor (GCF) of 48528 and 48546 is 18.

GCF(48528,48546) = 18

We will now calculate the prime factors of 48528 and 48546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48528 and 48546.

How to find the GCF of 48528 and 48546?

We will first find the prime factorization of 48528 and 48546. After we will calculate the factors of 48528 and 48546 and find the biggest common factor number .

Step-1: Prime Factorization of 48528

Prime factors of 48528 are 2, 3, 337. Prime factorization of 48528 in exponential form is:

48528 = 2⁴ × 3² × 337¹

Step-2: 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-3: Factors of 48528

List of positive integer factors of 48528 that divides 48528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 5392, 6066, 8088, 12132, 16176, 24264

Step-4: Factors of 48546

List of positive integer factors of 48546 that divides 48528 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48528 and 48546. The biggest common factor number is the GCF number.
So the greatest common factor 48528 and 48546 is 18.

Also check out the Least Common Multiple of 48528 and 48546