What is the Greatest Common Factor of 25546 and 25552?

Greatest common factor (GCF) of 25546 and 25552 is 2.

GCF(25546,25552) = 2

We will now calculate the prime factors of 25546 and 25552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25546 and 25552.

How to find the GCF of 25546 and 25552?

We will first find the prime factorization of 25546 and 25552. After we will calculate the factors of 25546 and 25552 and find the biggest common factor number .

Step-1: Prime Factorization of 25546

Prime factors of 25546 are 2, 53, 241. Prime factorization of 25546 in exponential form is:

25546 = 2¹ × 53¹ × 241¹

Step-2: Prime Factorization of 25552

Prime factors of 25552 are 2, 1597. Prime factorization of 25552 in exponential form is:

25552 = 2⁴ × 1597¹

Step-3: Factors of 25546

List of positive integer factors of 25546 that divides 25546 without a remainder.

1, 2, 53, 106, 241, 482, 12773

Step-4: Factors of 25552

List of positive integer factors of 25552 that divides 25546 without a remainder.

1, 2, 4, 8, 16, 1597, 3194, 6388, 12776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25546 and 25552. The biggest common factor number is the GCF number.
So the greatest common factor 25546 and 25552 is 2.

Also check out the Least Common Multiple of 25546 and 25552