What is the Greatest Common Factor of 62667 and 62679?

Greatest common factor (GCF) of 62667 and 62679 is 3.

GCF(62667,62679) = 3

We will now calculate the prime factors of 62667 and 62679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62667 and 62679.

How to find the GCF of 62667 and 62679?

We will first find the prime factorization of 62667 and 62679. After we will calculate the factors of 62667 and 62679 and find the biggest common factor number .

Step-1: Prime Factorization of 62667

Prime factors of 62667 are 3, 11, 211. Prime factorization of 62667 in exponential form is:

62667 = 3³ × 11¹ × 211¹

Step-2: Prime Factorization of 62679

Prime factors of 62679 are 3, 17, 1229. Prime factorization of 62679 in exponential form is:

62679 = 3¹ × 17¹ × 1229¹

Step-3: Factors of 62667

List of positive integer factors of 62667 that divides 62667 without a remainder.

1, 3, 9, 11, 27, 33, 99, 211, 297, 633, 1899, 2321, 5697, 6963, 20889

Step-4: Factors of 62679

List of positive integer factors of 62679 that divides 62667 without a remainder.

1, 3, 17, 51, 1229, 3687, 20893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62667 and 62679. The biggest common factor number is the GCF number.
So the greatest common factor 62667 and 62679 is 3.

Also check out the Least Common Multiple of 62667 and 62679