What is the Greatest Common Factor of 25900 and 25904?

Greatest common factor (GCF) of 25900 and 25904 is 4.

GCF(25900,25904) = 4

We will now calculate the prime factors of 25900 and 25904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25900 and 25904.

How to find the GCF of 25900 and 25904?

We will first find the prime factorization of 25900 and 25904. After we will calculate the factors of 25900 and 25904 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 25904

Prime factors of 25904 are 2, 1619. Prime factorization of 25904 in exponential form is:

25904 = 2⁴ × 1619¹

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 25904

List of positive integer factors of 25904 that divides 25900 without a remainder.

1, 2, 4, 8, 16, 1619, 3238, 6476, 12952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25900 and 25904. The biggest common factor number is the GCF number.
So the greatest common factor 25900 and 25904 is 4.

Also check out the Least Common Multiple of 25900 and 25904