What is the Greatest Common Factor of 62678 and 62689?

Greatest common factor (GCF) of 62678 and 62689 is 11.

GCF(62678,62689) = 11

We will now calculate the prime factors of 62678 and 62689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62678 and 62689.

How to find the GCF of 62678 and 62689?

We will first find the prime factorization of 62678 and 62689. After we will calculate the factors of 62678 and 62689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62689

Prime factors of 62689 are 11, 41, 139. Prime factorization of 62689 in exponential form is:

62689 = 11¹ × 41¹ × 139¹

Step-3: Factors of 62678

List of positive integer factors of 62678 that divides 62678 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

Step-4: Factors of 62689

List of positive integer factors of 62689 that divides 62678 without a remainder.

1, 11, 41, 139, 451, 1529, 5699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62678 and 62689. The biggest common factor number is the GCF number.
So the greatest common factor 62678 and 62689 is 11.

Also check out the Least Common Multiple of 62678 and 62689