What is the Greatest Common Factor of 25049 and 25058?

Greatest common factor (GCF) of 25049 and 25058 is 1.

GCF(25049,25058) = 1

We will now calculate the prime factors of 25049 and 25058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25049 and 25058.

How to find the GCF of 25049 and 25058?

We will first find the prime factorization of 25049 and 25058. After we will calculate the factors of 25049 and 25058 and find the biggest common factor number .

Step-1: Prime Factorization of 25049

Prime factors of 25049 are 37, 677. Prime factorization of 25049 in exponential form is:

25049 = 37¹ × 677¹

Step-2: Prime Factorization of 25058

Prime factors of 25058 are 2, 11, 17, 67. Prime factorization of 25058 in exponential form is:

25058 = 2¹ × 11¹ × 17¹ × 67¹

Step-3: Factors of 25049

List of positive integer factors of 25049 that divides 25049 without a remainder.

1, 37, 677

Step-4: Factors of 25058

List of positive integer factors of 25058 that divides 25049 without a remainder.

1, 2, 11, 17, 22, 34, 67, 134, 187, 374, 737, 1139, 1474, 2278, 12529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25049 and 25058. The biggest common factor number is the GCF number.
So the greatest common factor 25049 and 25058 is 1.

Also check out the Least Common Multiple of 25049 and 25058