What is the Greatest Common Factor of 45648 and 45657?

Greatest common factor (GCF) of 45648 and 45657 is 9.

GCF(45648,45657) = 9

We will now calculate the prime factors of 45648 and 45657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45648 and 45657.

How to find the GCF of 45648 and 45657?

We will first find the prime factorization of 45648 and 45657. After we will calculate the factors of 45648 and 45657 and find the biggest common factor number .

Step-1: Prime Factorization of 45648

Prime factors of 45648 are 2, 3, 317. Prime factorization of 45648 in exponential form is:

45648 = 2⁴ × 3² × 317¹

Step-2: Prime Factorization of 45657

Prime factors of 45657 are 3, 19, 89. Prime factorization of 45657 in exponential form is:

45657 = 3³ × 19¹ × 89¹

Step-3: Factors of 45648

List of positive integer factors of 45648 that divides 45648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5072, 5706, 7608, 11412, 15216, 22824

Step-4: Factors of 45657

List of positive integer factors of 45657 that divides 45648 without a remainder.

1, 3, 9, 19, 27, 57, 89, 171, 267, 513, 801, 1691, 2403, 5073, 15219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45648 and 45657. The biggest common factor number is the GCF number.
So the greatest common factor 45648 and 45657 is 9.

Also check out the Least Common Multiple of 45648 and 45657