What is the Greatest Common Factor of 26939 and 26950?

Greatest common factor (GCF) of 26939 and 26950 is 11.

GCF(26939,26950) = 11

We will now calculate the prime factors of 26939 and 26950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26939 and 26950.

How to find the GCF of 26939 and 26950?

We will first find the prime factorization of 26939 and 26950. After we will calculate the factors of 26939 and 26950 and find the biggest common factor number .

Step-1: Prime Factorization of 26939

Prime factors of 26939 are 11, 31, 79. Prime factorization of 26939 in exponential form is:

26939 = 11¹ × 31¹ × 79¹

Step-2: Prime Factorization of 26950

Prime factors of 26950 are 2, 5, 7, 11. Prime factorization of 26950 in exponential form is:

26950 = 2¹ × 5² × 7² × 11¹

Step-3: Factors of 26939

List of positive integer factors of 26939 that divides 26939 without a remainder.

1, 11, 31, 79, 341, 869, 2449

Step-4: Factors of 26950

List of positive integer factors of 26950 that divides 26939 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 49, 50, 55, 70, 77, 98, 110, 154, 175, 245, 275, 350, 385, 490, 539, 550, 770, 1078, 1225, 1925, 2450, 2695, 3850, 5390, 13475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26939 and 26950. The biggest common factor number is the GCF number.
So the greatest common factor 26939 and 26950 is 11.

Also check out the Least Common Multiple of 26939 and 26950