What is the Greatest Common Factor of 26224 and 26229?

Greatest common factor (GCF) of 26224 and 26229 is 1.

GCF(26224,26229) = 1

We will now calculate the prime factors of 26224 and 26229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26224 and 26229.

How to find the GCF of 26224 and 26229?

We will first find the prime factorization of 26224 and 26229. After we will calculate the factors of 26224 and 26229 and find the biggest common factor number .

Step-1: Prime Factorization of 26224

Prime factors of 26224 are 2, 11, 149. Prime factorization of 26224 in exponential form is:

26224 = 2⁴ × 11¹ × 149¹

Step-2: 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-3: Factors of 26224

List of positive integer factors of 26224 that divides 26224 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 149, 176, 298, 596, 1192, 1639, 2384, 3278, 6556, 13112

Step-4: Factors of 26229

List of positive integer factors of 26229 that divides 26224 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26224 and 26229. The biggest common factor number is the GCF number.
So the greatest common factor 26224 and 26229 is 1.

Also check out the Least Common Multiple of 26224 and 26229