What is the Greatest Common Factor of 45072 and 45088?

Greatest common factor (GCF) of 45072 and 45088 is 16.

GCF(45072,45088) = 16

We will now calculate the prime factors of 45072 and 45088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45072 and 45088.

How to find the GCF of 45072 and 45088?

We will first find the prime factorization of 45072 and 45088. After we will calculate the factors of 45072 and 45088 and find the biggest common factor number .

Step-1: Prime Factorization of 45072

Prime factors of 45072 are 2, 3, 313. Prime factorization of 45072 in exponential form is:

45072 = 2⁴ × 3² × 313¹

Step-2: Prime Factorization of 45088

Prime factors of 45088 are 2, 1409. Prime factorization of 45088 in exponential form is:

45088 = 2⁵ × 1409¹

Step-3: Factors of 45072

List of positive integer factors of 45072 that divides 45072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5008, 5634, 7512, 11268, 15024, 22536

Step-4: Factors of 45088

List of positive integer factors of 45088 that divides 45072 without a remainder.

1, 2, 4, 8, 16, 32, 1409, 2818, 5636, 11272, 22544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45072 and 45088. The biggest common factor number is the GCF number.
So the greatest common factor 45072 and 45088 is 16.

Also check out the Least Common Multiple of 45072 and 45088