What is the Greatest Common Factor of 45504 and 45508?

Greatest common factor (GCF) of 45504 and 45508 is 4.

GCF(45504,45508) = 4

We will now calculate the prime factors of 45504 and 45508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45504 and 45508.

How to find the GCF of 45504 and 45508?

We will first find the prime factorization of 45504 and 45508. After we will calculate the factors of 45504 and 45508 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 45508

Prime factors of 45508 are 2, 31, 367. Prime factorization of 45508 in exponential form is:

45508 = 2² × 31¹ × 367¹

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 45508

List of positive integer factors of 45508 that divides 45504 without a remainder.

1, 2, 4, 31, 62, 124, 367, 734, 1468, 11377, 22754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45504 and 45508. The biggest common factor number is the GCF number.
So the greatest common factor 45504 and 45508 is 4.

Also check out the Least Common Multiple of 45504 and 45508