What is the Greatest Common Factor of 25474 and 25482?

Greatest common factor (GCF) of 25474 and 25482 is 2.

GCF(25474,25482) = 2

We will now calculate the prime factors of 25474 and 25482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25474 and 25482.

How to find the GCF of 25474 and 25482?

We will first find the prime factorization of 25474 and 25482. After we will calculate the factors of 25474 and 25482 and find the biggest common factor number .

Step-1: Prime Factorization of 25474

Prime factors of 25474 are 2, 47, 271. Prime factorization of 25474 in exponential form is:

25474 = 2¹ × 47¹ × 271¹

Step-2: Prime Factorization of 25482

Prime factors of 25482 are 2, 3, 31, 137. Prime factorization of 25482 in exponential form is:

25482 = 2¹ × 3¹ × 31¹ × 137¹

Step-3: Factors of 25474

List of positive integer factors of 25474 that divides 25474 without a remainder.

1, 2, 47, 94, 271, 542, 12737

Step-4: Factors of 25482

List of positive integer factors of 25482 that divides 25474 without a remainder.

1, 2, 3, 6, 31, 62, 93, 137, 186, 274, 411, 822, 4247, 8494, 12741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25474 and 25482. The biggest common factor number is the GCF number.
So the greatest common factor 25474 and 25482 is 2.

Also check out the Least Common Multiple of 25474 and 25482