What is the Greatest Common Factor of 26445 and 26451?

Greatest common factor (GCF) of 26445 and 26451 is 3.

GCF(26445,26451) = 3

We will now calculate the prime factors of 26445 and 26451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26445 and 26451.

How to find the GCF of 26445 and 26451?

We will first find the prime factorization of 26445 and 26451. After we will calculate the factors of 26445 and 26451 and find the biggest common factor number .

Step-1: Prime Factorization of 26445

Prime factors of 26445 are 3, 5, 41, 43. Prime factorization of 26445 in exponential form is:

26445 = 3¹ × 5¹ × 41¹ × 43¹

Step-2: Prime Factorization of 26451

Prime factors of 26451 are 3, 2939. Prime factorization of 26451 in exponential form is:

26451 = 3² × 2939¹

Step-3: Factors of 26445

List of positive integer factors of 26445 that divides 26445 without a remainder.

1, 3, 5, 15, 41, 43, 123, 129, 205, 215, 615, 645, 1763, 5289, 8815

Step-4: Factors of 26451

List of positive integer factors of 26451 that divides 26445 without a remainder.

1, 3, 9, 2939, 8817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26445 and 26451. The biggest common factor number is the GCF number.
So the greatest common factor 26445 and 26451 is 3.

Also check out the Least Common Multiple of 26445 and 26451