What is the Greatest Common Factor of 79249 and 79268?

Greatest common factor (GCF) of 79249 and 79268 is 19.

GCF(79249,79268) = 19

We will now calculate the prime factors of 79249 and 79268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79249 and 79268.

How to find the GCF of 79249 and 79268?

We will first find the prime factorization of 79249 and 79268. After we will calculate the factors of 79249 and 79268 and find the biggest common factor number .

Step-1: Prime Factorization of 79249

Prime factors of 79249 are 19, 43, 97. Prime factorization of 79249 in exponential form is:

79249 = 19¹ × 43¹ × 97¹

Step-2: Prime Factorization of 79268

Prime factors of 79268 are 2, 7, 19, 149. Prime factorization of 79268 in exponential form is:

79268 = 2² × 7¹ × 19¹ × 149¹

Step-3: Factors of 79249

List of positive integer factors of 79249 that divides 79249 without a remainder.

1, 19, 43, 97, 817, 1843, 4171

Step-4: Factors of 79268

List of positive integer factors of 79268 that divides 79249 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 149, 266, 298, 532, 596, 1043, 2086, 2831, 4172, 5662, 11324, 19817, 39634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79249 and 79268. The biggest common factor number is the GCF number.
So the greatest common factor 79249 and 79268 is 19.

Also check out the Least Common Multiple of 79249 and 79268