What is the Greatest Common Factor of 62330 and 62348?

Greatest common factor (GCF) of 62330 and 62348 is 2.

GCF(62330,62348) = 2

We will now calculate the prime factors of 62330 and 62348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62330 and 62348.

How to find the GCF of 62330 and 62348?

We will first find the prime factorization of 62330 and 62348. After we will calculate the factors of 62330 and 62348 and find the biggest common factor number .

Step-1: Prime Factorization of 62330

Prime factors of 62330 are 2, 5, 23, 271. Prime factorization of 62330 in exponential form is:

62330 = 2¹ × 5¹ × 23¹ × 271¹

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 62330

List of positive integer factors of 62330 that divides 62330 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 271, 542, 1355, 2710, 6233, 12466, 31165

Step-4: Factors of 62348

List of positive integer factors of 62348 that divides 62330 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 62330 and 62348. The biggest common factor number is the GCF number.
So the greatest common factor 62330 and 62348 is 2.

Also check out the Least Common Multiple of 62330 and 62348