What is the Greatest Common Factor of 26635 and 26650?

Greatest common factor (GCF) of 26635 and 26650 is 5.

GCF(26635,26650) = 5

We will now calculate the prime factors of 26635 and 26650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26635 and 26650.

How to find the GCF of 26635 and 26650?

We will first find the prime factorization of 26635 and 26650. After we will calculate the factors of 26635 and 26650 and find the biggest common factor number .

Step-1: Prime Factorization of 26635

Prime factors of 26635 are 5, 7, 761. Prime factorization of 26635 in exponential form is:

26635 = 5¹ × 7¹ × 761¹

Step-2: Prime Factorization of 26650

Prime factors of 26650 are 2, 5, 13, 41. Prime factorization of 26650 in exponential form is:

26650 = 2¹ × 5² × 13¹ × 41¹

Step-3: Factors of 26635

List of positive integer factors of 26635 that divides 26635 without a remainder.

1, 5, 7, 35, 761, 3805, 5327

Step-4: Factors of 26650

List of positive integer factors of 26650 that divides 26635 without a remainder.

1, 2, 5, 10, 13, 25, 26, 41, 50, 65, 82, 130, 205, 325, 410, 533, 650, 1025, 1066, 2050, 2665, 5330, 13325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26635 and 26650. The biggest common factor number is the GCF number.
So the greatest common factor 26635 and 26650 is 5.

Also check out the Least Common Multiple of 26635 and 26650