What is the Greatest Common Factor of 32540 and 32544?

Greatest common factor (GCF) of 32540 and 32544 is 4.

GCF(32540,32544) = 4

We will now calculate the prime factors of 32540 and 32544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32540 and 32544.

How to find the GCF of 32540 and 32544?

We will first find the prime factorization of 32540 and 32544. After we will calculate the factors of 32540 and 32544 and find the biggest common factor number .

Step-1: Prime Factorization of 32540

Prime factors of 32540 are 2, 5, 1627. Prime factorization of 32540 in exponential form is:

32540 = 2² × 5¹ × 1627¹

Step-2: Prime Factorization of 32544

Prime factors of 32544 are 2, 3, 113. Prime factorization of 32544 in exponential form is:

32544 = 2⁵ × 3² × 113¹

Step-3: Factors of 32540

List of positive integer factors of 32540 that divides 32540 without a remainder.

1, 2, 4, 5, 10, 20, 1627, 3254, 6508, 8135, 16270

Step-4: Factors of 32544

List of positive integer factors of 32544 that divides 32540 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 113, 144, 226, 288, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3616, 4068, 5424, 8136, 10848, 16272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32540 and 32544. The biggest common factor number is the GCF number.
So the greatest common factor 32540 and 32544 is 4.

Also check out the Least Common Multiple of 32540 and 32544