What is the Greatest Common Factor of 25058 and 25077?

Greatest common factor (GCF) of 25058 and 25077 is 1.

GCF(25058,25077) = 1

We will now calculate the prime factors of 25058 and 25077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25058 and 25077.

How to find the GCF of 25058 and 25077?

We will first find the prime factorization of 25058 and 25077. After we will calculate the factors of 25058 and 25077 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25077

Prime factors of 25077 are 3, 13, 643. Prime factorization of 25077 in exponential form is:

25077 = 3¹ × 13¹ × 643¹

Step-3: Factors of 25058

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

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

Step-4: Factors of 25077

List of positive integer factors of 25077 that divides 25058 without a remainder.

1, 3, 13, 39, 643, 1929, 8359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25058 and 25077. The biggest common factor number is the GCF number.
So the greatest common factor 25058 and 25077 is 1.

Also check out the Least Common Multiple of 25058 and 25077