What is the Greatest Common Factor of 20111 and 20124?

Greatest common factor (GCF) of 20111 and 20124 is 13.

GCF(20111,20124) = 13

We will now calculate the prime factors of 20111 and 20124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20111 and 20124.

How to find the GCF of 20111 and 20124?

We will first find the prime factorization of 20111 and 20124. After we will calculate the factors of 20111 and 20124 and find the biggest common factor number .

Step-1: Prime Factorization of 20111

Prime factors of 20111 are 7, 13, 17. Prime factorization of 20111 in exponential form is:

20111 = 7¹ × 13² × 17¹

Step-2: 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-3: Factors of 20111

List of positive integer factors of 20111 that divides 20111 without a remainder.

1, 7, 13, 17, 91, 119, 169, 221, 1183, 1547, 2873

Step-4: Factors of 20124

List of positive integer factors of 20124 that divides 20111 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20111 and 20124. The biggest common factor number is the GCF number.
So the greatest common factor 20111 and 20124 is 13.

Also check out the Least Common Multiple of 20111 and 20124