What is the Greatest Common Factor of 45624 and 45636?

Greatest common factor (GCF) of 45624 and 45636 is 12.

GCF(45624,45636) = 12

We will now calculate the prime factors of 45624 and 45636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45624 and 45636.

How to find the GCF of 45624 and 45636?

We will first find the prime factorization of 45624 and 45636. After we will calculate the factors of 45624 and 45636 and find the biggest common factor number .

Step-1: Prime Factorization of 45624

Prime factors of 45624 are 2, 3, 1901. Prime factorization of 45624 in exponential form is:

45624 = 2³ × 3¹ × 1901¹

Step-2: Prime Factorization of 45636

Prime factors of 45636 are 2, 3, 3803. Prime factorization of 45636 in exponential form is:

45636 = 2² × 3¹ × 3803¹

Step-3: Factors of 45624

List of positive integer factors of 45624 that divides 45624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1901, 3802, 5703, 7604, 11406, 15208, 22812

Step-4: Factors of 45636

List of positive integer factors of 45636 that divides 45624 without a remainder.

1, 2, 3, 4, 6, 12, 3803, 7606, 11409, 15212, 22818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45624 and 45636. The biggest common factor number is the GCF number.
So the greatest common factor 45624 and 45636 is 12.

Also check out the Least Common Multiple of 45624 and 45636