What is the Greatest Common Factor of 62348 and 62356?

Greatest common factor (GCF) of 62348 and 62356 is 4.

GCF(62348,62356) = 4

We will now calculate the prime factors of 62348 and 62356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62348 and 62356.

How to find the GCF of 62348 and 62356?

We will first find the prime factorization of 62348 and 62356. After we will calculate the factors of 62348 and 62356 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 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 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 62356

List of positive integer factors of 62356 that divides 62348 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 62348 and 62356. The biggest common factor number is the GCF number.
So the greatest common factor 62348 and 62356 is 4.

Also check out the Least Common Multiple of 62348 and 62356