What is the Greatest Common Factor of 45504 and 45522?

Greatest common factor (GCF) of 45504 and 45522 is 18.

GCF(45504,45522) = 18

We will now calculate the prime factors of 45504 and 45522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45504 and 45522.

How to find the GCF of 45504 and 45522?

We will first find the prime factorization of 45504 and 45522. After we will calculate the factors of 45504 and 45522 and find the biggest common factor number .

Step-1: Prime Factorization of 45504

Prime factors of 45504 are 2, 3, 79. Prime factorization of 45504 in exponential form is:

45504 = 2⁶ × 3² × 79¹

Step-2: Prime Factorization of 45522

Prime factors of 45522 are 2, 3, 281. Prime factorization of 45522 in exponential form is:

45522 = 2¹ × 3⁴ × 281¹

Step-3: Factors of 45504

List of positive integer factors of 45504 that divides 45504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 79, 96, 144, 158, 192, 237, 288, 316, 474, 576, 632, 711, 948, 1264, 1422, 1896, 2528, 2844, 3792, 5056, 5688, 7584, 11376, 15168, 22752

Step-4: Factors of 45522

List of positive integer factors of 45522 that divides 45504 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 281, 562, 843, 1686, 2529, 5058, 7587, 15174, 22761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45504 and 45522. The biggest common factor number is the GCF number.
So the greatest common factor 45504 and 45522 is 18.

Also check out the Least Common Multiple of 45504 and 45522