What is the Greatest Common Factor of 25776 and 25786?

Greatest common factor (GCF) of 25776 and 25786 is 2.

GCF(25776,25786) = 2

We will now calculate the prime factors of 25776 and 25786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25776 and 25786.

How to find the GCF of 25776 and 25786?

We will first find the prime factorization of 25776 and 25786. After we will calculate the factors of 25776 and 25786 and find the biggest common factor number .

Step-1: Prime Factorization of 25776

Prime factors of 25776 are 2, 3, 179. Prime factorization of 25776 in exponential form is:

25776 = 2⁴ × 3² × 179¹

Step-2: Prime Factorization of 25786

Prime factors of 25786 are 2, 12893. Prime factorization of 25786 in exponential form is:

25786 = 2¹ × 12893¹

Step-3: Factors of 25776

List of positive integer factors of 25776 that divides 25776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 179, 358, 537, 716, 1074, 1432, 1611, 2148, 2864, 3222, 4296, 6444, 8592, 12888

Step-4: Factors of 25786

List of positive integer factors of 25786 that divides 25776 without a remainder.

1, 2, 12893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25776 and 25786. The biggest common factor number is the GCF number.
So the greatest common factor 25776 and 25786 is 2.

Also check out the Least Common Multiple of 25776 and 25786