What is the Greatest Common Factor of 62677 and 62689?

Greatest common factor (GCF) of 62677 and 62689 is 1.

GCF(62677,62689) = 1

We will now calculate the prime factors of 62677 and 62689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62677 and 62689.

How to find the GCF of 62677 and 62689?

We will first find the prime factorization of 62677 and 62689. After we will calculate the factors of 62677 and 62689 and find the biggest common factor number .

Step-1: Prime Factorization of 62677

Prime factors of 62677 are 233, 269. Prime factorization of 62677 in exponential form is:

62677 = 233¹ × 269¹

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 62677

List of positive integer factors of 62677 that divides 62677 without a remainder.

1, 233, 269

Step-4: Factors of 62689

List of positive integer factors of 62689 that divides 62677 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62677 and 62689. The biggest common factor number is the GCF number.
So the greatest common factor 62677 and 62689 is 1.

Also check out the Least Common Multiple of 62677 and 62689