What is the Greatest Common Factor of 25634 and 25648?

Greatest common factor (GCF) of 25634 and 25648 is 14.

GCF(25634,25648) = 14

We will now calculate the prime factors of 25634 and 25648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25634 and 25648.

How to find the GCF of 25634 and 25648?

We will first find the prime factorization of 25634 and 25648. After we will calculate the factors of 25634 and 25648 and find the biggest common factor number .

Step-1: Prime Factorization of 25634

Prime factors of 25634 are 2, 7, 1831. Prime factorization of 25634 in exponential form is:

25634 = 2¹ × 7¹ × 1831¹

Step-2: Prime Factorization of 25648

Prime factors of 25648 are 2, 7, 229. Prime factorization of 25648 in exponential form is:

25648 = 2⁴ × 7¹ × 229¹

Step-3: Factors of 25634

List of positive integer factors of 25634 that divides 25634 without a remainder.

1, 2, 7, 14, 1831, 3662, 12817

Step-4: Factors of 25648

List of positive integer factors of 25648 that divides 25634 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 229, 458, 916, 1603, 1832, 3206, 3664, 6412, 12824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25634 and 25648. The biggest common factor number is the GCF number.
So the greatest common factor 25634 and 25648 is 14.

Also check out the Least Common Multiple of 25634 and 25648