What is the Greatest Common Factor of 25764 and 25774?

Greatest common factor (GCF) of 25764 and 25774 is 2.

GCF(25764,25774) = 2

We will now calculate the prime factors of 25764 and 25774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25764 and 25774.

How to find the GCF of 25764 and 25774?

We will first find the prime factorization of 25764 and 25774. After we will calculate the factors of 25764 and 25774 and find the biggest common factor number .

Step-1: Prime Factorization of 25764

Prime factors of 25764 are 2, 3, 19, 113. Prime factorization of 25764 in exponential form is:

25764 = 2² × 3¹ × 19¹ × 113¹

Step-2: Prime Factorization of 25774

Prime factors of 25774 are 2, 7, 263. Prime factorization of 25774 in exponential form is:

25774 = 2¹ × 7² × 263¹

Step-3: Factors of 25764

List of positive integer factors of 25764 that divides 25764 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 113, 114, 226, 228, 339, 452, 678, 1356, 2147, 4294, 6441, 8588, 12882

Step-4: Factors of 25774

List of positive integer factors of 25774 that divides 25764 without a remainder.

1, 2, 7, 14, 49, 98, 263, 526, 1841, 3682, 12887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25764 and 25774. The biggest common factor number is the GCF number.
So the greatest common factor 25764 and 25774 is 2.

Also check out the Least Common Multiple of 25764 and 25774