What is the Greatest Common Factor of 25123 and 25130?

Greatest common factor (GCF) of 25123 and 25130 is 7.

GCF(25123,25130) = 7

We will now calculate the prime factors of 25123 and 25130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25123 and 25130.

How to find the GCF of 25123 and 25130?

We will first find the prime factorization of 25123 and 25130. After we will calculate the factors of 25123 and 25130 and find the biggest common factor number .

Step-1: Prime Factorization of 25123

Prime factors of 25123 are 7, 37, 97. Prime factorization of 25123 in exponential form is:

25123 = 7¹ × 37¹ × 97¹

Step-2: Prime Factorization of 25130

Prime factors of 25130 are 2, 5, 7, 359. Prime factorization of 25130 in exponential form is:

25130 = 2¹ × 5¹ × 7¹ × 359¹

Step-3: Factors of 25123

List of positive integer factors of 25123 that divides 25123 without a remainder.

1, 7, 37, 97, 259, 679, 3589

Step-4: Factors of 25130

List of positive integer factors of 25130 that divides 25123 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 359, 718, 1795, 2513, 3590, 5026, 12565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25123 and 25130. The biggest common factor number is the GCF number.
So the greatest common factor 25123 and 25130 is 7.

Also check out the Least Common Multiple of 25123 and 25130