What is the Greatest Common Factor of 25074 and 25081?

Greatest common factor (GCF) of 25074 and 25081 is 7.

GCF(25074,25081) = 7

We will now calculate the prime factors of 25074 and 25081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25074 and 25081.

How to find the GCF of 25074 and 25081?

We will first find the prime factorization of 25074 and 25081. After we will calculate the factors of 25074 and 25081 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25081

Prime factors of 25081 are 7, 3583. Prime factorization of 25081 in exponential form is:

25081 = 7¹ × 3583¹

Step-3: Factors of 25074

List of positive integer factors of 25074 that divides 25074 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

Step-4: Factors of 25081

List of positive integer factors of 25081 that divides 25074 without a remainder.

1, 7, 3583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25074 and 25081. The biggest common factor number is the GCF number.
So the greatest common factor 25074 and 25081 is 7.

Also check out the Least Common Multiple of 25074 and 25081