What is the Greatest Common Factor of 20124 and 20128?

Greatest common factor (GCF) of 20124 and 20128 is 4.

GCF(20124,20128) = 4

We will now calculate the prime factors of 20124 and 20128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20124 and 20128.

How to find the GCF of 20124 and 20128?

We will first find the prime factorization of 20124 and 20128. After we will calculate the factors of 20124 and 20128 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 20128

Prime factors of 20128 are 2, 17, 37. Prime factorization of 20128 in exponential form is:

20128 = 2⁵ × 17¹ × 37¹

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 20128

List of positive integer factors of 20128 that divides 20124 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 37, 68, 74, 136, 148, 272, 296, 544, 592, 629, 1184, 1258, 2516, 5032, 10064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20124 and 20128. The biggest common factor number is the GCF number.
So the greatest common factor 20124 and 20128 is 4.

Also check out the Least Common Multiple of 20124 and 20128