What is the Greatest Common Factor of 62337 and 62348?

Greatest common factor (GCF) of 62337 and 62348 is 11.

GCF(62337,62348) = 11

We will now calculate the prime factors of 62337 and 62348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62337 and 62348.

How to find the GCF of 62337 and 62348?

We will first find the prime factorization of 62337 and 62348. After we will calculate the factors of 62337 and 62348 and find the biggest common factor number .

Step-1: Prime Factorization of 62337

Prime factors of 62337 are 3, 11, 1889. Prime factorization of 62337 in exponential form is:

62337 = 3¹ × 11¹ × 1889¹

Step-2: Prime Factorization of 62348

Prime factors of 62348 are 2, 11, 13, 109. Prime factorization of 62348 in exponential form is:

62348 = 2² × 11¹ × 13¹ × 109¹

Step-3: Factors of 62337

List of positive integer factors of 62337 that divides 62337 without a remainder.

1, 3, 11, 33, 1889, 5667, 20779

Step-4: Factors of 62348

List of positive integer factors of 62348 that divides 62337 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 109, 143, 218, 286, 436, 572, 1199, 1417, 2398, 2834, 4796, 5668, 15587, 31174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62337 and 62348. The biggest common factor number is the GCF number.
So the greatest common factor 62337 and 62348 is 11.

Also check out the Least Common Multiple of 62337 and 62348