What is the Greatest Common Factor of 96019 and 96026?

Greatest common factor (GCF) of 96019 and 96026 is 7.

GCF(96019,96026) = 7

We will now calculate the prime factors of 96019 and 96026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96019 and 96026.

How to find the GCF of 96019 and 96026?

We will first find the prime factorization of 96019 and 96026. After we will calculate the factors of 96019 and 96026 and find the biggest common factor number .

Step-1: Prime Factorization of 96019

Prime factors of 96019 are 7, 11, 29, 43. Prime factorization of 96019 in exponential form is:

96019 = 7¹ × 11¹ × 29¹ × 43¹

Step-2: Prime Factorization of 96026

Prime factors of 96026 are 2, 7, 19. Prime factorization of 96026 in exponential form is:

96026 = 2¹ × 7¹ × 19³

Step-3: Factors of 96019

List of positive integer factors of 96019 that divides 96019 without a remainder.

1, 7, 11, 29, 43, 77, 203, 301, 319, 473, 1247, 2233, 3311, 8729, 13717

Step-4: Factors of 96026

List of positive integer factors of 96026 that divides 96019 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054, 6859, 13718, 48013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96019 and 96026. The biggest common factor number is the GCF number.
So the greatest common factor 96019 and 96026 is 7.

Also check out the Least Common Multiple of 96019 and 96026