What is the Greatest Common Factor of 26498 and 26502?

Greatest common factor (GCF) of 26498 and 26502 is 2.

GCF(26498,26502) = 2

We will now calculate the prime factors of 26498 and 26502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26498 and 26502.

How to find the GCF of 26498 and 26502?

We will first find the prime factorization of 26498 and 26502. After we will calculate the factors of 26498 and 26502 and find the biggest common factor number .

Step-1: Prime Factorization of 26498

Prime factors of 26498 are 2, 13249. Prime factorization of 26498 in exponential form is:

26498 = 2¹ × 13249¹

Step-2: Prime Factorization of 26502

Prime factors of 26502 are 2, 3, 7, 631. Prime factorization of 26502 in exponential form is:

26502 = 2¹ × 3¹ × 7¹ × 631¹

Step-3: Factors of 26498

List of positive integer factors of 26498 that divides 26498 without a remainder.

1, 2, 13249

Step-4: Factors of 26502

List of positive integer factors of 26502 that divides 26498 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 631, 1262, 1893, 3786, 4417, 8834, 13251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26498 and 26502. The biggest common factor number is the GCF number.
So the greatest common factor 26498 and 26502 is 2.

Also check out the Least Common Multiple of 26498 and 26502