What is the Greatest Common Factor of 25042 and 25049?

Greatest common factor (GCF) of 25042 and 25049 is 1.

GCF(25042,25049) = 1

We will now calculate the prime factors of 25042 and 25049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25042 and 25049.

How to find the GCF of 25042 and 25049?

We will first find the prime factorization of 25042 and 25049. After we will calculate the factors of 25042 and 25049 and find the biggest common factor number .

Step-1: Prime Factorization of 25042

Prime factors of 25042 are 2, 19, 659. Prime factorization of 25042 in exponential form is:

25042 = 2¹ × 19¹ × 659¹

Step-2: Prime Factorization of 25049

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

25049 = 37¹ × 677¹

Step-3: Factors of 25042

List of positive integer factors of 25042 that divides 25042 without a remainder.

1, 2, 19, 38, 659, 1318, 12521

Step-4: Factors of 25049

List of positive integer factors of 25049 that divides 25042 without a remainder.

1, 37, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25042 and 25049. The biggest common factor number is the GCF number.
So the greatest common factor 25042 and 25049 is 1.

Also check out the Least Common Multiple of 25042 and 25049