What is the Greatest Common Factor of 25049 and 25063?

Greatest common factor (GCF) of 25049 and 25063 is 1.

GCF(25049,25063) = 1

We will now calculate the prime factors of 25049 and 25063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25049 and 25063.

How to find the GCF of 25049 and 25063?

We will first find the prime factorization of 25049 and 25063. After we will calculate the factors of 25049 and 25063 and find the biggest common factor number .

Step-1: Prime Factorization of 25049

Prime factors of 25049 are 37, 677. Prime factorization of 25049 in exponential form is:

25049 = 37¹ × 677¹

Step-2: Prime Factorization of 25063

Prime factors of 25063 are 71, 353. Prime factorization of 25063 in exponential form is:

25063 = 71¹ × 353¹

Step-3: Factors of 25049

List of positive integer factors of 25049 that divides 25049 without a remainder.

1, 37, 677

Step-4: Factors of 25063

List of positive integer factors of 25063 that divides 25049 without a remainder.

1, 71, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25049 and 25063. The biggest common factor number is the GCF number.
So the greatest common factor 25049 and 25063 is 1.

Also check out the Least Common Multiple of 25049 and 25063