What is the Greatest Common Factor of 30108 and 30124?

Greatest common factor (GCF) of 30108 and 30124 is 4.

GCF(30108,30124) = 4

We will now calculate the prime factors of 30108 and 30124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30108 and 30124.

How to find the GCF of 30108 and 30124?

We will first find the prime factorization of 30108 and 30124. After we will calculate the factors of 30108 and 30124 and find the biggest common factor number .

Step-1: Prime Factorization of 30108

Prime factors of 30108 are 2, 3, 13, 193. Prime factorization of 30108 in exponential form is:

30108 = 2² × 3¹ × 13¹ × 193¹

Step-2: Prime Factorization of 30124

Prime factors of 30124 are 2, 17, 443. Prime factorization of 30124 in exponential form is:

30124 = 2² × 17¹ × 443¹

Step-3: Factors of 30108

List of positive integer factors of 30108 that divides 30108 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 193, 386, 579, 772, 1158, 2316, 2509, 5018, 7527, 10036, 15054

Step-4: Factors of 30124

List of positive integer factors of 30124 that divides 30108 without a remainder.

1, 2, 4, 17, 34, 68, 443, 886, 1772, 7531, 15062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30108 and 30124. The biggest common factor number is the GCF number.
So the greatest common factor 30108 and 30124 is 4.

Also check out the Least Common Multiple of 30108 and 30124