What is the Greatest Common Factor of 25038 and 25042?

Greatest common factor (GCF) of 25038 and 25042 is 2.

GCF(25038,25042) = 2

We will now calculate the prime factors of 25038 and 25042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25038 and 25042.

How to find the GCF of 25038 and 25042?

We will first find the prime factorization of 25038 and 25042. After we will calculate the factors of 25038 and 25042 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 25038

List of positive integer factors of 25038 that divides 25038 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

Step-4: Factors of 25042

List of positive integer factors of 25042 that divides 25038 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25038 and 25042. The biggest common factor number is the GCF number.
So the greatest common factor 25038 and 25042 is 2.

Also check out the Least Common Multiple of 25038 and 25042