What is the Greatest Common Factor of 25665 and 25676?

Greatest common factor (GCF) of 25665 and 25676 is 1.

GCF(25665,25676) = 1

We will now calculate the prime factors of 25665 and 25676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25665 and 25676.

How to find the GCF of 25665 and 25676?

We will first find the prime factorization of 25665 and 25676. After we will calculate the factors of 25665 and 25676 and find the biggest common factor number .

Step-1: Prime Factorization of 25665

Prime factors of 25665 are 3, 5, 29, 59. Prime factorization of 25665 in exponential form is:

25665 = 3¹ × 5¹ × 29¹ × 59¹

Step-2: Prime Factorization of 25676

Prime factors of 25676 are 2, 7, 131. Prime factorization of 25676 in exponential form is:

25676 = 2² × 7² × 131¹

Step-3: Factors of 25665

List of positive integer factors of 25665 that divides 25665 without a remainder.

1, 3, 5, 15, 29, 59, 87, 145, 177, 295, 435, 885, 1711, 5133, 8555

Step-4: Factors of 25676

List of positive integer factors of 25676 that divides 25665 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 131, 196, 262, 524, 917, 1834, 3668, 6419, 12838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25665 and 25676. The biggest common factor number is the GCF number.
So the greatest common factor 25665 and 25676 is 1.

Also check out the Least Common Multiple of 25665 and 25676