What is the Greatest Common Factor of 25090 and 25103?

Greatest common factor (GCF) of 25090 and 25103 is 13.

GCF(25090,25103) = 13

We will now calculate the prime factors of 25090 and 25103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25090 and 25103.

How to find the GCF of 25090 and 25103?

We will first find the prime factorization of 25090 and 25103. After we will calculate the factors of 25090 and 25103 and find the biggest common factor number .

Step-1: Prime Factorization of 25090

Prime factors of 25090 are 2, 5, 13, 193. Prime factorization of 25090 in exponential form is:

25090 = 2¹ × 5¹ × 13¹ × 193¹

Step-2: Prime Factorization of 25103

Prime factors of 25103 are 13, 1931. Prime factorization of 25103 in exponential form is:

25103 = 13¹ × 1931¹

Step-3: Factors of 25090

List of positive integer factors of 25090 that divides 25090 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 193, 386, 965, 1930, 2509, 5018, 12545

Step-4: Factors of 25103

List of positive integer factors of 25103 that divides 25090 without a remainder.

1, 13, 1931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25090 and 25103. The biggest common factor number is the GCF number.
So the greatest common factor 25090 and 25103 is 13.

Also check out the Least Common Multiple of 25090 and 25103