What is the Greatest Common Factor of 25049 and 25069?

Greatest common factor (GCF) of 25049 and 25069 is 1.

GCF(25049,25069) = 1

We will now calculate the prime factors of 25049 and 25069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25049 and 25069.

How to find the GCF of 25049 and 25069?

We will first find the prime factorization of 25049 and 25069. After we will calculate the factors of 25049 and 25069 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 25069

Prime factors of 25069 are 11, 43, 53. Prime factorization of 25069 in exponential form is:

25069 = 11¹ × 43¹ × 53¹

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 25069

List of positive integer factors of 25069 that divides 25049 without a remainder.

1, 11, 43, 53, 473, 583, 2279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25049 and 25069. The biggest common factor number is the GCF number.
So the greatest common factor 25049 and 25069 is 1.

Also check out the Least Common Multiple of 25049 and 25069