What is the Greatest Common Factor of 26714 and 26733?

Greatest common factor (GCF) of 26714 and 26733 is 19.

GCF(26714,26733) = 19

We will now calculate the prime factors of 26714 and 26733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26714 and 26733.

How to find the GCF of 26714 and 26733?

We will first find the prime factorization of 26714 and 26733. After we will calculate the factors of 26714 and 26733 and find the biggest common factor number .

Step-1: Prime Factorization of 26714

Prime factors of 26714 are 2, 19, 37. Prime factorization of 26714 in exponential form is:

26714 = 2¹ × 19² × 37¹

Step-2: Prime Factorization of 26733

Prime factors of 26733 are 3, 7, 19, 67. Prime factorization of 26733 in exponential form is:

26733 = 3¹ × 7¹ × 19¹ × 67¹

Step-3: Factors of 26714

List of positive integer factors of 26714 that divides 26714 without a remainder.

1, 2, 19, 37, 38, 74, 361, 703, 722, 1406, 13357

Step-4: Factors of 26733

List of positive integer factors of 26733 that divides 26714 without a remainder.

1, 3, 7, 19, 21, 57, 67, 133, 201, 399, 469, 1273, 1407, 3819, 8911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26714 and 26733. The biggest common factor number is the GCF number.
So the greatest common factor 26714 and 26733 is 19.

Also check out the Least Common Multiple of 26714 and 26733