What is the Greatest Common Factor of 79230 and 79249?

Greatest common factor (GCF) of 79230 and 79249 is 19.

GCF(79230,79249) = 19

We will now calculate the prime factors of 79230 and 79249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79230 and 79249.

How to find the GCF of 79230 and 79249?

We will first find the prime factorization of 79230 and 79249. After we will calculate the factors of 79230 and 79249 and find the biggest common factor number .

Step-1: Prime Factorization of 79230

Prime factors of 79230 are 2, 3, 5, 19, 139. Prime factorization of 79230 in exponential form is:

79230 = 2¹ × 3¹ × 5¹ × 19¹ × 139¹

Step-2: 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-3: Factors of 79230

List of positive integer factors of 79230 that divides 79230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 139, 190, 278, 285, 417, 570, 695, 834, 1390, 2085, 2641, 4170, 5282, 7923, 13205, 15846, 26410, 39615

Step-4: Factors of 79249

List of positive integer factors of 79249 that divides 79230 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79230 and 79249. The biggest common factor number is the GCF number.
So the greatest common factor 79230 and 79249 is 19.

Also check out the Least Common Multiple of 79230 and 79249