What is the Greatest Common Factor of 78190 and 78204?

Greatest common factor (GCF) of 78190 and 78204 is 14.

GCF(78190,78204) = 14

We will now calculate the prime factors of 78190 and 78204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78190 and 78204.

How to find the GCF of 78190 and 78204?

We will first find the prime factorization of 78190 and 78204. After we will calculate the factors of 78190 and 78204 and find the biggest common factor number .

Step-1: Prime Factorization of 78190

Prime factors of 78190 are 2, 5, 7, 1117. Prime factorization of 78190 in exponential form is:

78190 = 2¹ × 5¹ × 7¹ × 1117¹

Step-2: Prime Factorization of 78204

Prime factors of 78204 are 2, 3, 7, 19. Prime factorization of 78204 in exponential form is:

78204 = 2² × 3¹ × 7³ × 19¹

Step-3: Factors of 78190

List of positive integer factors of 78190 that divides 78190 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1117, 2234, 5585, 7819, 11170, 15638, 39095

Step-4: Factors of 78204

List of positive integer factors of 78204 that divides 78190 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 49, 57, 76, 84, 98, 114, 133, 147, 196, 228, 266, 294, 343, 399, 532, 588, 686, 798, 931, 1029, 1372, 1596, 1862, 2058, 2793, 3724, 4116, 5586, 6517, 11172, 13034, 19551, 26068, 39102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78190 and 78204. The biggest common factor number is the GCF number.
So the greatest common factor 78190 and 78204 is 14.

Also check out the Least Common Multiple of 78190 and 78204