What is the Greatest Common Factor of 25056 and 25068?

Greatest common factor (GCF) of 25056 and 25068 is 12.

GCF(25056,25068) = 12

We will now calculate the prime factors of 25056 and 25068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25056 and 25068.

How to find the GCF of 25056 and 25068?

We will first find the prime factorization of 25056 and 25068. After we will calculate the factors of 25056 and 25068 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 25068

Prime factors of 25068 are 2, 3, 2089. Prime factorization of 25068 in exponential form is:

25068 = 2² × 3¹ × 2089¹

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 25068

List of positive integer factors of 25068 that divides 25056 without a remainder.

1, 2, 3, 4, 6, 12, 2089, 4178, 6267, 8356, 12534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25056 and 25068. The biggest common factor number is the GCF number.
So the greatest common factor 25056 and 25068 is 12.

Also check out the Least Common Multiple of 25056 and 25068