What is the Greatest Common Factor of 25900 and 25910?

Greatest common factor (GCF) of 25900 and 25910 is 10.

GCF(25900,25910) = 10

We will now calculate the prime factors of 25900 and 25910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25900 and 25910.

How to find the GCF of 25900 and 25910?

We will first find the prime factorization of 25900 and 25910. After we will calculate the factors of 25900 and 25910 and find the biggest common factor number .

Step-1: Prime Factorization of 25900

Prime factors of 25900 are 2, 5, 7, 37. Prime factorization of 25900 in exponential form is:

25900 = 2² × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 25910

Prime factors of 25910 are 2, 5, 2591. Prime factorization of 25910 in exponential form is:

25910 = 2¹ × 5¹ × 2591¹

Step-3: Factors of 25900

List of positive integer factors of 25900 that divides 25900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 37, 50, 70, 74, 100, 140, 148, 175, 185, 259, 350, 370, 518, 700, 740, 925, 1036, 1295, 1850, 2590, 3700, 5180, 6475, 12950

Step-4: Factors of 25910

List of positive integer factors of 25910 that divides 25900 without a remainder.

1, 2, 5, 10, 2591, 5182, 12955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25900 and 25910. The biggest common factor number is the GCF number.
So the greatest common factor 25900 and 25910 is 10.

Also check out the Least Common Multiple of 25900 and 25910