What is the Greatest Common Factor of 26338 and 26350?

Greatest common factor (GCF) of 26338 and 26350 is 2.

GCF(26338,26350) = 2

We will now calculate the prime factors of 26338 and 26350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26338 and 26350.

How to find the GCF of 26338 and 26350?

We will first find the prime factorization of 26338 and 26350. After we will calculate the factors of 26338 and 26350 and find the biggest common factor number .

Step-1: Prime Factorization of 26338

Prime factors of 26338 are 2, 13, 1013. Prime factorization of 26338 in exponential form is:

26338 = 2¹ × 13¹ × 1013¹

Step-2: Prime Factorization of 26350

Prime factors of 26350 are 2, 5, 17, 31. Prime factorization of 26350 in exponential form is:

26350 = 2¹ × 5² × 17¹ × 31¹

Step-3: Factors of 26338

List of positive integer factors of 26338 that divides 26338 without a remainder.

1, 2, 13, 26, 1013, 2026, 13169

Step-4: Factors of 26350

List of positive integer factors of 26350 that divides 26338 without a remainder.

1, 2, 5, 10, 17, 25, 31, 34, 50, 62, 85, 155, 170, 310, 425, 527, 775, 850, 1054, 1550, 2635, 5270, 13175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26338 and 26350. The biggest common factor number is the GCF number.
So the greatest common factor 26338 and 26350 is 2.

Also check out the Least Common Multiple of 26338 and 26350