What is the Greatest Common Factor of 25050 and 25054?

Greatest common factor (GCF) of 25050 and 25054 is 2.

GCF(25050,25054) = 2

We will now calculate the prime factors of 25050 and 25054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25050 and 25054.

How to find the GCF of 25050 and 25054?

We will first find the prime factorization of 25050 and 25054. After we will calculate the factors of 25050 and 25054 and find the biggest common factor number .

Step-1: Prime Factorization of 25050

Prime factors of 25050 are 2, 3, 5, 167. Prime factorization of 25050 in exponential form is:

25050 = 2¹ × 3¹ × 5² × 167¹

Step-2: Prime Factorization of 25054

Prime factors of 25054 are 2, 12527. Prime factorization of 25054 in exponential form is:

25054 = 2¹ × 12527¹

Step-3: Factors of 25050

List of positive integer factors of 25050 that divides 25050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 167, 334, 501, 835, 1002, 1670, 2505, 4175, 5010, 8350, 12525

Step-4: Factors of 25054

List of positive integer factors of 25054 that divides 25050 without a remainder.

1, 2, 12527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25050 and 25054. The biggest common factor number is the GCF number.
So the greatest common factor 25050 and 25054 is 2.

Also check out the Least Common Multiple of 25050 and 25054