What is the Greatest Common Factor of 78204 and 78208?

Greatest common factor (GCF) of 78204 and 78208 is 4.

GCF(78204,78208) = 4

We will now calculate the prime factors of 78204 and 78208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78204 and 78208.

How to find the GCF of 78204 and 78208?

We will first find the prime factorization of 78204 and 78208. After we will calculate the factors of 78204 and 78208 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 78208

Prime factors of 78208 are 2, 13, 47. Prime factorization of 78208 in exponential form is:

78208 = 2⁷ × 13¹ × 47¹

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 78208

List of positive integer factors of 78208 that divides 78204 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 47, 52, 64, 94, 104, 128, 188, 208, 376, 416, 611, 752, 832, 1222, 1504, 1664, 2444, 3008, 4888, 6016, 9776, 19552, 39104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78204 and 78208. The biggest common factor number is the GCF number.
So the greatest common factor 78204 and 78208 is 4.

Also check out the Least Common Multiple of 78204 and 78208