What is the Greatest Common Factor of 20111 and 20125?

Greatest common factor (GCF) of 20111 and 20125 is 7.

GCF(20111,20125) = 7

We will now calculate the prime factors of 20111 and 20125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20111 and 20125.

How to find the GCF of 20111 and 20125?

We will first find the prime factorization of 20111 and 20125. After we will calculate the factors of 20111 and 20125 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 20125

Prime factors of 20125 are 5, 7, 23. Prime factorization of 20125 in exponential form is:

20125 = 5³ × 7¹ × 23¹

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 20125

List of positive integer factors of 20125 that divides 20111 without a remainder.

1, 5, 7, 23, 25, 35, 115, 125, 161, 175, 575, 805, 875, 2875, 4025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20111 and 20125. The biggest common factor number is the GCF number.
So the greatest common factor 20111 and 20125 is 7.

Also check out the Least Common Multiple of 20111 and 20125