What is the Greatest Common Factor of 26942 and 26961?

Greatest common factor (GCF) of 26942 and 26961 is 19.

GCF(26942,26961) = 19

We will now calculate the prime factors of 26942 and 26961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26942 and 26961.

How to find the GCF of 26942 and 26961?

We will first find the prime factorization of 26942 and 26961. After we will calculate the factors of 26942 and 26961 and find the biggest common factor number .

Step-1: Prime Factorization of 26942

Prime factors of 26942 are 2, 19, 709. Prime factorization of 26942 in exponential form is:

26942 = 2¹ × 19¹ × 709¹

Step-2: Prime Factorization of 26961

Prime factors of 26961 are 3, 11, 19, 43. Prime factorization of 26961 in exponential form is:

26961 = 3¹ × 11¹ × 19¹ × 43¹

Step-3: Factors of 26942

List of positive integer factors of 26942 that divides 26942 without a remainder.

1, 2, 19, 38, 709, 1418, 13471

Step-4: Factors of 26961

List of positive integer factors of 26961 that divides 26942 without a remainder.

1, 3, 11, 19, 33, 43, 57, 129, 209, 473, 627, 817, 1419, 2451, 8987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26942 and 26961. The biggest common factor number is the GCF number.
So the greatest common factor 26942 and 26961 is 19.

Also check out the Least Common Multiple of 26942 and 26961