What is the Greatest Common Factor of 26229 and 26247?

Greatest common factor (GCF) of 26229 and 26247 is 3.

GCF(26229,26247) = 3

We will now calculate the prime factors of 26229 and 26247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26229 and 26247.

How to find the GCF of 26229 and 26247?

We will first find the prime factorization of 26229 and 26247. After we will calculate the factors of 26229 and 26247 and find the biggest common factor number .

Step-1: Prime Factorization of 26229

Prime factors of 26229 are 3, 7, 1249. Prime factorization of 26229 in exponential form is:

26229 = 3¹ × 7¹ × 1249¹

Step-2: Prime Factorization of 26247

Prime factors of 26247 are 3, 13, 673. Prime factorization of 26247 in exponential form is:

26247 = 3¹ × 13¹ × 673¹

Step-3: Factors of 26229

List of positive integer factors of 26229 that divides 26229 without a remainder.

1, 3, 7, 21, 1249, 3747, 8743

Step-4: Factors of 26247

List of positive integer factors of 26247 that divides 26229 without a remainder.

1, 3, 13, 39, 673, 2019, 8749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26229 and 26247. The biggest common factor number is the GCF number.
So the greatest common factor 26229 and 26247 is 3.

Also check out the Least Common Multiple of 26229 and 26247