What is the Greatest Common Factor of 25109 and 25120?

Greatest common factor (GCF) of 25109 and 25120 is 1.

GCF(25109,25120) = 1

We will now calculate the prime factors of 25109 and 25120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25109 and 25120.

How to find the GCF of 25109 and 25120?

We will first find the prime factorization of 25109 and 25120. After we will calculate the factors of 25109 and 25120 and find the biggest common factor number .

Step-1: Prime Factorization of 25109

Prime factors of 25109 are 7, 17, 211. Prime factorization of 25109 in exponential form is:

25109 = 7¹ × 17¹ × 211¹

Step-2: Prime Factorization of 25120

Prime factors of 25120 are 2, 5, 157. Prime factorization of 25120 in exponential form is:

25120 = 2⁵ × 5¹ × 157¹

Step-3: Factors of 25109

List of positive integer factors of 25109 that divides 25109 without a remainder.

1, 7, 17, 119, 211, 1477, 3587

Step-4: Factors of 25120

List of positive integer factors of 25120 that divides 25109 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 157, 160, 314, 628, 785, 1256, 1570, 2512, 3140, 5024, 6280, 12560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25109 and 25120. The biggest common factor number is the GCF number.
So the greatest common factor 25109 and 25120 is 1.

Also check out the Least Common Multiple of 25109 and 25120