What is the Greatest Common Factor of 62342 and 62348?

Greatest common factor (GCF) of 62342 and 62348 is 2.

GCF(62342,62348) = 2

We will now calculate the prime factors of 62342 and 62348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62342 and 62348.

How to find the GCF of 62342 and 62348?

We will first find the prime factorization of 62342 and 62348. After we will calculate the factors of 62342 and 62348 and find the biggest common factor number .

Step-1: Prime Factorization of 62342

Prime factors of 62342 are 2, 7, 61, 73. Prime factorization of 62342 in exponential form is:

62342 = 2¹ × 7¹ × 61¹ × 73¹

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 62342

List of positive integer factors of 62342 that divides 62342 without a remainder.

1, 2, 7, 14, 61, 73, 122, 146, 427, 511, 854, 1022, 4453, 8906, 31171

Step-4: Factors of 62348

List of positive integer factors of 62348 that divides 62342 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 62342 and 62348. The biggest common factor number is the GCF number.
So the greatest common factor 62342 and 62348 is 2.

Also check out the Least Common Multiple of 62342 and 62348