What is the Greatest Common Factor of 48546 and 48564?

Greatest common factor (GCF) of 48546 and 48564 is 18.

GCF(48546,48564) = 18

We will now calculate the prime factors of 48546 and 48564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48546 and 48564.

How to find the GCF of 48546 and 48564?

We will first find the prime factorization of 48546 and 48564. After we will calculate the factors of 48546 and 48564 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 48564

Prime factors of 48564 are 2, 3, 19, 71. Prime factorization of 48564 in exponential form is:

48564 = 2² × 3² × 19¹ × 71¹

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 48564

List of positive integer factors of 48564 that divides 48546 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 71, 76, 114, 142, 171, 213, 228, 284, 342, 426, 639, 684, 852, 1278, 1349, 2556, 2698, 4047, 5396, 8094, 12141, 16188, 24282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48546 and 48564. The biggest common factor number is the GCF number.
So the greatest common factor 48546 and 48564 is 18.

Also check out the Least Common Multiple of 48546 and 48564