What is the Greatest Common Factor of 20124 and 20129?

Greatest common factor (GCF) of 20124 and 20129 is 1.

GCF(20124,20129) = 1

We will now calculate the prime factors of 20124 and 20129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20124 and 20129.

How to find the GCF of 20124 and 20129?

We will first find the prime factorization of 20124 and 20129. After we will calculate the factors of 20124 and 20129 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 20129

Prime factors of 20129 are 20129. Prime factorization of 20129 in exponential form is:

20129 = 20129¹

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 20129

List of positive integer factors of 20129 that divides 20124 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20124 and 20129. The biggest common factor number is the GCF number.
So the greatest common factor 20124 and 20129 is 1.

Also check out the Least Common Multiple of 20124 and 20129