What is the Greatest Common Factor of 62339 and 62356?

Greatest common factor (GCF) of 62339 and 62356 is 17.

GCF(62339,62356) = 17

We will now calculate the prime factors of 62339 and 62356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62339 and 62356.

How to find the GCF of 62339 and 62356?

We will first find the prime factorization of 62339 and 62356. After we will calculate the factors of 62339 and 62356 and find the biggest common factor number .

Step-1: Prime Factorization of 62339

Prime factors of 62339 are 17, 19, 193. Prime factorization of 62339 in exponential form is:

62339 = 17¹ × 19¹ × 193¹

Step-2: Prime Factorization of 62356

Prime factors of 62356 are 2, 7, 17, 131. Prime factorization of 62356 in exponential form is:

62356 = 2² × 7¹ × 17¹ × 131¹

Step-3: Factors of 62339

List of positive integer factors of 62339 that divides 62339 without a remainder.

1, 17, 19, 193, 323, 3281, 3667

Step-4: Factors of 62356

List of positive integer factors of 62356 that divides 62339 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 131, 238, 262, 476, 524, 917, 1834, 2227, 3668, 4454, 8908, 15589, 31178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62339 and 62356. The biggest common factor number is the GCF number.
So the greatest common factor 62339 and 62356 is 17.

Also check out the Least Common Multiple of 62339 and 62356