What is the Greatest Common Factor of 45072 and 45092?

Greatest common factor (GCF) of 45072 and 45092 is 4.

GCF(45072,45092) = 4

We will now calculate the prime factors of 45072 and 45092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45072 and 45092.

How to find the GCF of 45072 and 45092?

We will first find the prime factorization of 45072 and 45092. After we will calculate the factors of 45072 and 45092 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 45092

Prime factors of 45092 are 2, 11273. Prime factorization of 45092 in exponential form is:

45092 = 2² × 11273¹

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 45092

List of positive integer factors of 45092 that divides 45072 without a remainder.

1, 2, 4, 11273, 22546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45072 and 45092. The biggest common factor number is the GCF number.
So the greatest common factor 45072 and 45092 is 4.

Also check out the Least Common Multiple of 45072 and 45092