What is the Greatest Common Factor of 78204 and 78213?

Greatest common factor (GCF) of 78204 and 78213 is 3.

GCF(78204,78213) = 3

We will now calculate the prime factors of 78204 and 78213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78204 and 78213.

How to find the GCF of 78204 and 78213?

We will first find the prime factorization of 78204 and 78213. After we will calculate the factors of 78204 and 78213 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78213

Prime factors of 78213 are 3, 29, 31. Prime factorization of 78213 in exponential form is:

78213 = 3¹ × 29² × 31¹

Step-3: Factors of 78204

List of positive integer factors of 78204 that divides 78204 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

Step-4: Factors of 78213

List of positive integer factors of 78213 that divides 78204 without a remainder.

1, 3, 29, 31, 87, 93, 841, 899, 2523, 2697, 26071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78204 and 78213. The biggest common factor number is the GCF number.
So the greatest common factor 78204 and 78213 is 3.

Also check out the Least Common Multiple of 78204 and 78213