What is the Greatest Common Factor of 25029 and 25043?

Greatest common factor (GCF) of 25029 and 25043 is 1.

GCF(25029,25043) = 1

We will now calculate the prime factors of 25029 and 25043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25029 and 25043.

How to find the GCF of 25029 and 25043?

We will first find the prime factorization of 25029 and 25043. After we will calculate the factors of 25029 and 25043 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 25043

Prime factors of 25043 are 79, 317. Prime factorization of 25043 in exponential form is:

25043 = 79¹ × 317¹

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 25043

List of positive integer factors of 25043 that divides 25029 without a remainder.

1, 79, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25029 and 25043. The biggest common factor number is the GCF number.
So the greatest common factor 25029 and 25043 is 1.

Also check out the Least Common Multiple of 25029 and 25043