What is the Greatest Common Factor of 25056 and 25071?

Greatest common factor (GCF) of 25056 and 25071 is 3.

GCF(25056,25071) = 3

We will now calculate the prime factors of 25056 and 25071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25056 and 25071.

How to find the GCF of 25056 and 25071?

We will first find the prime factorization of 25056 and 25071. After we will calculate the factors of 25056 and 25071 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25071

Prime factors of 25071 are 3, 61, 137. Prime factorization of 25071 in exponential form is:

25071 = 3¹ × 61¹ × 137¹

Step-3: Factors of 25056

List of positive integer factors of 25056 that divides 25056 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

Step-4: Factors of 25071

List of positive integer factors of 25071 that divides 25056 without a remainder.

1, 3, 61, 137, 183, 411, 8357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25056 and 25071. The biggest common factor number is the GCF number.
So the greatest common factor 25056 and 25071 is 3.

Also check out the Least Common Multiple of 25056 and 25071