What is the Greatest Common Factor of 25029 and 25049?

Greatest common factor (GCF) of 25029 and 25049 is 1.

GCF(25029,25049) = 1

We will now calculate the prime factors of 25029 and 25049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25029 and 25049.

How to find the GCF of 25029 and 25049?

We will first find the prime factorization of 25029 and 25049. After we will calculate the factors of 25029 and 25049 and find the biggest common factor number .

Step-1: Prime Factorization of 25029

Prime factors of 25029 are 3, 103. Prime factorization of 25029 in exponential form is:

25029 = 3⁵ × 103¹

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 25029

List of positive integer factors of 25029 that divides 25029 without a remainder.

1, 3, 9, 27, 81, 103, 243, 309, 927, 2781, 8343

Step-4: Factors of 25049

List of positive integer factors of 25049 that divides 25029 without a remainder.

1, 37, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25029 and 25049. The biggest common factor number is the GCF number.
So the greatest common factor 25029 and 25049 is 1.

Also check out the Least Common Multiple of 25029 and 25049