What is the Greatest Common Factor of 25038 and 25054?

Greatest common factor (GCF) of 25038 and 25054 is 2.

GCF(25038,25054) = 2

We will now calculate the prime factors of 25038 and 25054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25038 and 25054.

How to find the GCF of 25038 and 25054?

We will first find the prime factorization of 25038 and 25054. After we will calculate the factors of 25038 and 25054 and find the biggest common factor number .

Step-1: Prime Factorization of 25038

Prime factors of 25038 are 2, 3, 13, 107. Prime factorization of 25038 in exponential form is:

25038 = 2¹ × 3² × 13¹ × 107¹

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 25038

List of positive integer factors of 25038 that divides 25038 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 107, 117, 214, 234, 321, 642, 963, 1391, 1926, 2782, 4173, 8346, 12519

Step-4: Factors of 25054

List of positive integer factors of 25054 that divides 25038 without a remainder.

1, 2, 12527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25038 and 25054. The biggest common factor number is the GCF number.
So the greatest common factor 25038 and 25054 is 2.

Also check out the Least Common Multiple of 25038 and 25054