What is the Greatest Common Factor of 25654 and 25668?

Greatest common factor (GCF) of 25654 and 25668 is 2.

GCF(25654,25668) = 2

We will now calculate the prime factors of 25654 and 25668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25654 and 25668.

How to find the GCF of 25654 and 25668?

We will first find the prime factorization of 25654 and 25668. After we will calculate the factors of 25654 and 25668 and find the biggest common factor number .

Step-1: Prime Factorization of 25654

Prime factors of 25654 are 2, 101, 127. Prime factorization of 25654 in exponential form is:

25654 = 2¹ × 101¹ × 127¹

Step-2: Prime Factorization of 25668

Prime factors of 25668 are 2, 3, 23, 31. Prime factorization of 25668 in exponential form is:

25668 = 2² × 3² × 23¹ × 31¹

Step-3: Factors of 25654

List of positive integer factors of 25654 that divides 25654 without a remainder.

1, 2, 101, 127, 202, 254, 12827

Step-4: Factors of 25668

List of positive integer factors of 25668 that divides 25654 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 31, 36, 46, 62, 69, 92, 93, 124, 138, 186, 207, 276, 279, 372, 414, 558, 713, 828, 1116, 1426, 2139, 2852, 4278, 6417, 8556, 12834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25654 and 25668. The biggest common factor number is the GCF number.
So the greatest common factor 25654 and 25668 is 2.

Also check out the Least Common Multiple of 25654 and 25668