What is the Greatest Common Factor of 62348 and 62368?

Greatest common factor (GCF) of 62348 and 62368 is 4.

GCF(62348,62368) = 4

We will now calculate the prime factors of 62348 and 62368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62348 and 62368.

How to find the GCF of 62348 and 62368?

We will first find the prime factorization of 62348 and 62368. After we will calculate the factors of 62348 and 62368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62368

Prime factors of 62368 are 2, 1949. Prime factorization of 62368 in exponential form is:

62368 = 2⁵ × 1949¹

Step-3: Factors of 62348

List of positive integer factors of 62348 that divides 62348 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

Step-4: Factors of 62368

List of positive integer factors of 62368 that divides 62348 without a remainder.

1, 2, 4, 8, 16, 32, 1949, 3898, 7796, 15592, 31184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62348 and 62368. The biggest common factor number is the GCF number.
So the greatest common factor 62348 and 62368 is 4.

Also check out the Least Common Multiple of 62348 and 62368