What is the Greatest Common Factor of 62332 and 62348?

Greatest common factor (GCF) of 62332 and 62348 is 4.

GCF(62332,62348) = 4

We will now calculate the prime factors of 62332 and 62348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62332 and 62348.

How to find the GCF of 62332 and 62348?

We will first find the prime factorization of 62332 and 62348. After we will calculate the factors of 62332 and 62348 and find the biggest common factor number .

Step-1: Prime Factorization of 62332

Prime factors of 62332 are 2, 15583. Prime factorization of 62332 in exponential form is:

62332 = 2² × 15583¹

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 62332

List of positive integer factors of 62332 that divides 62332 without a remainder.

1, 2, 4, 15583, 31166

Step-4: Factors of 62348

List of positive integer factors of 62348 that divides 62332 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 62332 and 62348. The biggest common factor number is the GCF number.
So the greatest common factor 62332 and 62348 is 4.

Also check out the Least Common Multiple of 62332 and 62348