What is the Greatest Common Factor of 68264 and 68278?

Greatest common factor (GCF) of 68264 and 68278 is 14.

GCF(68264,68278) = 14

We will now calculate the prime factors of 68264 and 68278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68264 and 68278.

How to find the GCF of 68264 and 68278?

We will first find the prime factorization of 68264 and 68278. After we will calculate the factors of 68264 and 68278 and find the biggest common factor number .

Step-1: Prime Factorization of 68264

Prime factors of 68264 are 2, 7, 23, 53. Prime factorization of 68264 in exponential form is:

68264 = 2³ × 7¹ × 23¹ × 53¹

Step-2: Prime Factorization of 68278

Prime factors of 68278 are 2, 7, 4877. Prime factorization of 68278 in exponential form is:

68278 = 2¹ × 7¹ × 4877¹

Step-3: Factors of 68264

List of positive integer factors of 68264 that divides 68264 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 53, 56, 92, 106, 161, 184, 212, 322, 371, 424, 644, 742, 1219, 1288, 1484, 2438, 2968, 4876, 8533, 9752, 17066, 34132

Step-4: Factors of 68278

List of positive integer factors of 68278 that divides 68264 without a remainder.

1, 2, 7, 14, 4877, 9754, 34139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68264 and 68278. The biggest common factor number is the GCF number.
So the greatest common factor 68264 and 68278 is 14.

Also check out the Least Common Multiple of 68264 and 68278