What is the Greatest Common Factor of 25038 and 25056?

Greatest common factor (GCF) of 25038 and 25056 is 18.

GCF(25038,25056) = 18

We will now calculate the prime factors of 25038 and 25056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25038 and 25056.

How to find the GCF of 25038 and 25056?

We will first find the prime factorization of 25038 and 25056. After we will calculate the factors of 25038 and 25056 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 25056

Prime factors of 25056 are 2, 3, 29. Prime factorization of 25056 in exponential form is:

25056 = 2⁵ × 3³ × 29¹

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 25056

List of positive integer factors of 25056 that divides 25038 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 72, 87, 96, 108, 116, 144, 174, 216, 232, 261, 288, 348, 432, 464, 522, 696, 783, 864, 928, 1044, 1392, 1566, 2088, 2784, 3132, 4176, 6264, 8352, 12528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25038 and 25056. The biggest common factor number is the GCF number.
So the greatest common factor 25038 and 25056 is 18.

Also check out the Least Common Multiple of 25038 and 25056