What is the Greatest Common Factor of 62663 and 62678?

Greatest common factor (GCF) of 62663 and 62678 is 1.

GCF(62663,62678) = 1

We will now calculate the prime factors of 62663 and 62678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62663 and 62678.

How to find the GCF of 62663 and 62678?

We will first find the prime factorization of 62663 and 62678. After we will calculate the factors of 62663 and 62678 and find the biggest common factor number .

Step-1: Prime Factorization of 62663

Prime factors of 62663 are 223, 281. Prime factorization of 62663 in exponential form is:

62663 = 223¹ × 281¹

Step-2: Prime Factorization of 62678

Prime factors of 62678 are 2, 7, 11, 37. Prime factorization of 62678 in exponential form is:

62678 = 2¹ × 7¹ × 11² × 37¹

Step-3: Factors of 62663

List of positive integer factors of 62663 that divides 62663 without a remainder.

1, 223, 281

Step-4: Factors of 62678

List of positive integer factors of 62678 that divides 62663 without a remainder.

1, 2, 7, 11, 14, 22, 37, 74, 77, 121, 154, 242, 259, 407, 518, 814, 847, 1694, 2849, 4477, 5698, 8954, 31339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62663 and 62678. The biggest common factor number is the GCF number.
So the greatest common factor 62663 and 62678 is 1.

Also check out the Least Common Multiple of 62663 and 62678