What is the Greatest Common Factor of 45108 and 45124?

Greatest common factor (GCF) of 45108 and 45124 is 4.

GCF(45108,45124) = 4

We will now calculate the prime factors of 45108 and 45124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45108 and 45124.

How to find the GCF of 45108 and 45124?

We will first find the prime factorization of 45108 and 45124. After we will calculate the factors of 45108 and 45124 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45124

Prime factors of 45124 are 2, 29, 389. Prime factorization of 45124 in exponential form is:

45124 = 2² × 29¹ × 389¹

Step-3: Factors of 45108

List of positive integer factors of 45108 that divides 45108 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

Step-4: Factors of 45124

List of positive integer factors of 45124 that divides 45108 without a remainder.

1, 2, 4, 29, 58, 116, 389, 778, 1556, 11281, 22562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45108 and 45124. The biggest common factor number is the GCF number.
So the greatest common factor 45108 and 45124 is 4.

Also check out the Least Common Multiple of 45108 and 45124