What is the Greatest Common Factor of 45088 and 45108?

Greatest common factor (GCF) of 45088 and 45108 is 4.

GCF(45088,45108) = 4

We will now calculate the prime factors of 45088 and 45108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45088 and 45108.

How to find the GCF of 45088 and 45108?

We will first find the prime factorization of 45088 and 45108. After we will calculate the factors of 45088 and 45108 and find the biggest common factor number .

Step-1: Prime Factorization of 45088

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

45088 = 2⁵ × 1409¹

Step-2: Prime Factorization of 45108

Prime factors of 45108 are 2, 3, 7, 179. Prime factorization of 45108 in exponential form is:

45108 = 2² × 3² × 7¹ × 179¹

Step-3: Factors of 45088

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

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

Step-4: Factors of 45108

List of positive integer factors of 45108 that divides 45088 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 179, 252, 358, 537, 716, 1074, 1253, 1611, 2148, 2506, 3222, 3759, 5012, 6444, 7518, 11277, 15036, 22554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45088 and 45108. The biggest common factor number is the GCF number.
So the greatest common factor 45088 and 45108 is 4.

Also check out the Least Common Multiple of 45088 and 45108