What is the Greatest Common Factor of 25054 and 25074?

Greatest common factor (GCF) of 25054 and 25074 is 2.

GCF(25054,25074) = 2

We will now calculate the prime factors of 25054 and 25074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25054 and 25074.

How to find the GCF of 25054 and 25074?

We will first find the prime factorization of 25054 and 25074. After we will calculate the factors of 25054 and 25074 and find the biggest common factor number .

Step-1: Prime Factorization of 25054

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

25054 = 2¹ × 12527¹

Step-2: Prime Factorization of 25074

Prime factors of 25074 are 2, 3, 7, 199. Prime factorization of 25074 in exponential form is:

25074 = 2¹ × 3² × 7¹ × 199¹

Step-3: Factors of 25054

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

1, 2, 12527

Step-4: Factors of 25074

List of positive integer factors of 25074 that divides 25054 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 199, 398, 597, 1194, 1393, 1791, 2786, 3582, 4179, 8358, 12537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25054 and 25074. The biggest common factor number is the GCF number.
So the greatest common factor 25054 and 25074 is 2.

Also check out the Least Common Multiple of 25054 and 25074