What is the Greatest Common Factor of 62662 and 62681?

Greatest common factor (GCF) of 62662 and 62681 is 19.

GCF(62662,62681) = 19

We will now calculate the prime factors of 62662 and 62681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62662 and 62681.

How to find the GCF of 62662 and 62681?

We will first find the prime factorization of 62662 and 62681. After we will calculate the factors of 62662 and 62681 and find the biggest common factor number .

Step-1: Prime Factorization of 62662

Prime factors of 62662 are 2, 17, 19, 97. Prime factorization of 62662 in exponential form is:

62662 = 2¹ × 17¹ × 19¹ × 97¹

Step-2: Prime Factorization of 62681

Prime factors of 62681 are 19, 3299. Prime factorization of 62681 in exponential form is:

62681 = 19¹ × 3299¹

Step-3: Factors of 62662

List of positive integer factors of 62662 that divides 62662 without a remainder.

1, 2, 17, 19, 34, 38, 97, 194, 323, 646, 1649, 1843, 3298, 3686, 31331

Step-4: Factors of 62681

List of positive integer factors of 62681 that divides 62662 without a remainder.

1, 19, 3299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62662 and 62681. The biggest common factor number is the GCF number.
So the greatest common factor 62662 and 62681 is 19.

Also check out the Least Common Multiple of 62662 and 62681