What is the Greatest Common Factor of 78208 and 78218?

Greatest common factor (GCF) of 78208 and 78218 is 2.

GCF(78208,78218) = 2

We will now calculate the prime factors of 78208 and 78218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78208 and 78218.

How to find the GCF of 78208 and 78218?

We will first find the prime factorization of 78208 and 78218. After we will calculate the factors of 78208 and 78218 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78218

Prime factors of 78218 are 2, 7, 37, 151. Prime factorization of 78218 in exponential form is:

78218 = 2¹ × 7¹ × 37¹ × 151¹

Step-3: Factors of 78208

List of positive integer factors of 78208 that divides 78208 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

Step-4: Factors of 78218

List of positive integer factors of 78218 that divides 78208 without a remainder.

1, 2, 7, 14, 37, 74, 151, 259, 302, 518, 1057, 2114, 5587, 11174, 39109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78208 and 78218. The biggest common factor number is the GCF number.
So the greatest common factor 78208 and 78218 is 2.

Also check out the Least Common Multiple of 78208 and 78218