What is the Greatest Common Factor of 62342 and 62356?

Greatest common factor (GCF) of 62342 and 62356 is 14.

GCF(62342,62356) = 14

We will now calculate the prime factors of 62342 and 62356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62342 and 62356.

How to find the GCF of 62342 and 62356?

We will first find the prime factorization of 62342 and 62356. After we will calculate the factors of 62342 and 62356 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 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 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 62356

List of positive integer factors of 62356 that divides 62342 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 62342 and 62356. The biggest common factor number is the GCF number.
So the greatest common factor 62342 and 62356 is 14.

Also check out the Least Common Multiple of 62342 and 62356