What is the Greatest Common Factor of 20114 and 20125?

Greatest common factor (GCF) of 20114 and 20125 is 1.

GCF(20114,20125) = 1

We will now calculate the prime factors of 20114 and 20125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20114 and 20125.

How to find the GCF of 20114 and 20125?

We will first find the prime factorization of 20114 and 20125. After we will calculate the factors of 20114 and 20125 and find the biggest common factor number .

Step-1: Prime Factorization of 20114

Prime factors of 20114 are 2, 89, 113. Prime factorization of 20114 in exponential form is:

20114 = 2¹ × 89¹ × 113¹

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 20114

List of positive integer factors of 20114 that divides 20114 without a remainder.

1, 2, 89, 113, 178, 226, 10057

Step-4: Factors of 20125

List of positive integer factors of 20125 that divides 20114 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 20114 and 20125. The biggest common factor number is the GCF number.
So the greatest common factor 20114 and 20125 is 1.

Also check out the Least Common Multiple of 20114 and 20125