What is the Greatest Common Factor of 25055 and 25074?

Greatest common factor (GCF) of 25055 and 25074 is 1.

GCF(25055,25074) = 1

We will now calculate the prime factors of 25055 and 25074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25055 and 25074.

How to find the GCF of 25055 and 25074?

We will first find the prime factorization of 25055 and 25074. After we will calculate the factors of 25055 and 25074 and find the biggest common factor number .

Step-1: Prime Factorization of 25055

Prime factors of 25055 are 5, 5011. Prime factorization of 25055 in exponential form is:

25055 = 5¹ × 5011¹

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 25055

List of positive integer factors of 25055 that divides 25055 without a remainder.

1, 5, 5011

Step-4: Factors of 25074

List of positive integer factors of 25074 that divides 25055 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 25055 and 25074. The biggest common factor number is the GCF number.
So the greatest common factor 25055 and 25074 is 1.

Also check out the Least Common Multiple of 25055 and 25074