What is the Greatest Common Factor of 26068 and 26087?

Greatest common factor (GCF) of 26068 and 26087 is 19.

GCF(26068,26087) = 19

We will now calculate the prime factors of 26068 and 26087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26068 and 26087.

How to find the GCF of 26068 and 26087?

We will first find the prime factorization of 26068 and 26087. After we will calculate the factors of 26068 and 26087 and find the biggest common factor number .

Step-1: Prime Factorization of 26068

Prime factors of 26068 are 2, 7, 19. Prime factorization of 26068 in exponential form is:

26068 = 2² × 7³ × 19¹

Step-2: Prime Factorization of 26087

Prime factors of 26087 are 19, 1373. Prime factorization of 26087 in exponential form is:

26087 = 19¹ × 1373¹

Step-3: Factors of 26068

List of positive integer factors of 26068 that divides 26068 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 343, 532, 686, 931, 1372, 1862, 3724, 6517, 13034

Step-4: Factors of 26087

List of positive integer factors of 26087 that divides 26068 without a remainder.

1, 19, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26068 and 26087. The biggest common factor number is the GCF number.
So the greatest common factor 26068 and 26087 is 19.

Also check out the Least Common Multiple of 26068 and 26087