What is the Greatest Common Factor of 25029 and 25038?

Greatest common factor (GCF) of 25029 and 25038 is 9.

GCF(25029,25038) = 9

We will now calculate the prime factors of 25029 and 25038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25029 and 25038.

How to find the GCF of 25029 and 25038?

We will first find the prime factorization of 25029 and 25038. After we will calculate the factors of 25029 and 25038 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 25038

Prime factors of 25038 are 2, 3, 13, 107. Prime factorization of 25038 in exponential form is:

25038 = 2¹ × 3² × 13¹ × 107¹

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 25038

List of positive integer factors of 25038 that divides 25029 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 107, 117, 214, 234, 321, 642, 963, 1391, 1926, 2782, 4173, 8346, 12519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25029 and 25038. The biggest common factor number is the GCF number.
So the greatest common factor 25029 and 25038 is 9.

Also check out the Least Common Multiple of 25029 and 25038