What is the Greatest Common Factor of 20124 and 20136?

Greatest common factor (GCF) of 20124 and 20136 is 12.

GCF(20124,20136) = 12

We will now calculate the prime factors of 20124 and 20136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20124 and 20136.

How to find the GCF of 20124 and 20136?

We will first find the prime factorization of 20124 and 20136. After we will calculate the factors of 20124 and 20136 and find the biggest common factor number .

Step-1: Prime Factorization of 20124

Prime factors of 20124 are 2, 3, 13, 43. Prime factorization of 20124 in exponential form is:

20124 = 2² × 3² × 13¹ × 43¹

Step-2: Prime Factorization of 20136

Prime factors of 20136 are 2, 3, 839. Prime factorization of 20136 in exponential form is:

20136 = 2³ × 3¹ × 839¹

Step-3: Factors of 20124

List of positive integer factors of 20124 that divides 20124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 43, 52, 78, 86, 117, 129, 156, 172, 234, 258, 387, 468, 516, 559, 774, 1118, 1548, 1677, 2236, 3354, 5031, 6708, 10062

Step-4: Factors of 20136

List of positive integer factors of 20136 that divides 20124 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 839, 1678, 2517, 3356, 5034, 6712, 10068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20124 and 20136. The biggest common factor number is the GCF number.
So the greatest common factor 20124 and 20136 is 12.

Also check out the Least Common Multiple of 20124 and 20136