What is the Greatest Common Factor of 26609 and 26628?

Greatest common factor (GCF) of 26609 and 26628 is 1.

GCF(26609,26628) = 1

We will now calculate the prime factors of 26609 and 26628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26609 and 26628.

How to find the GCF of 26609 and 26628?

We will first find the prime factorization of 26609 and 26628. After we will calculate the factors of 26609 and 26628 and find the biggest common factor number .

Step-1: Prime Factorization of 26609

Prime factors of 26609 are 11, 41, 59. Prime factorization of 26609 in exponential form is:

26609 = 11¹ × 41¹ × 59¹

Step-2: Prime Factorization of 26628

Prime factors of 26628 are 2, 3, 7, 317. Prime factorization of 26628 in exponential form is:

26628 = 2² × 3¹ × 7¹ × 317¹

Step-3: Factors of 26609

List of positive integer factors of 26609 that divides 26609 without a remainder.

1, 11, 41, 59, 451, 649, 2419

Step-4: Factors of 26628

List of positive integer factors of 26628 that divides 26609 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26609 and 26628. The biggest common factor number is the GCF number.
So the greatest common factor 26609 and 26628 is 1.

Also check out the Least Common Multiple of 26609 and 26628