What is the Greatest Common Factor of 26098 and 26110?

Greatest common factor (GCF) of 26098 and 26110 is 2.

GCF(26098,26110) = 2

We will now calculate the prime factors of 26098 and 26110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26098 and 26110.

How to find the GCF of 26098 and 26110?

We will first find the prime factorization of 26098 and 26110. After we will calculate the factors of 26098 and 26110 and find the biggest common factor number .

Step-1: Prime Factorization of 26098

Prime factors of 26098 are 2, 13049. Prime factorization of 26098 in exponential form is:

26098 = 2¹ × 13049¹

Step-2: Prime Factorization of 26110

Prime factors of 26110 are 2, 5, 7, 373. Prime factorization of 26110 in exponential form is:

26110 = 2¹ × 5¹ × 7¹ × 373¹

Step-3: Factors of 26098

List of positive integer factors of 26098 that divides 26098 without a remainder.

1, 2, 13049

Step-4: Factors of 26110

List of positive integer factors of 26110 that divides 26098 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 373, 746, 1865, 2611, 3730, 5222, 13055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26098 and 26110. The biggest common factor number is the GCF number.
So the greatest common factor 26098 and 26110 is 2.

Also check out the Least Common Multiple of 26098 and 26110