What is the Greatest Common Factor of 25082 and 25088?

Greatest common factor (GCF) of 25082 and 25088 is 2.

GCF(25082,25088) = 2

We will now calculate the prime factors of 25082 and 25088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25082 and 25088.

How to find the GCF of 25082 and 25088?

We will first find the prime factorization of 25082 and 25088. After we will calculate the factors of 25082 and 25088 and find the biggest common factor number .

Step-1: Prime Factorization of 25082

Prime factors of 25082 are 2, 12541. Prime factorization of 25082 in exponential form is:

25082 = 2¹ × 12541¹

Step-2: Prime Factorization of 25088

Prime factors of 25088 are 2, 7. Prime factorization of 25088 in exponential form is:

25088 = 2⁹ × 7²

Step-3: Factors of 25082

List of positive integer factors of 25082 that divides 25082 without a remainder.

1, 2, 12541

Step-4: Factors of 25088

List of positive integer factors of 25088 that divides 25082 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 392, 448, 512, 784, 896, 1568, 1792, 3136, 3584, 6272, 12544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25082 and 25088. The biggest common factor number is the GCF number.
So the greatest common factor 25082 and 25088 is 2.

Also check out the Least Common Multiple of 25082 and 25088