What is the Greatest Common Factor of 60342 and 60346?

Greatest common factor (GCF) of 60342 and 60346 is 2.

GCF(60342,60346) = 2

We will now calculate the prime factors of 60342 and 60346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60342 and 60346.

How to find the GCF of 60342 and 60346?

We will first find the prime factorization of 60342 and 60346. After we will calculate the factors of 60342 and 60346 and find the biggest common factor number .

Step-1: Prime Factorization of 60342

Prime factors of 60342 are 2, 3, 89, 113. Prime factorization of 60342 in exponential form is:

60342 = 2¹ × 3¹ × 89¹ × 113¹

Step-2: Prime Factorization of 60346

Prime factors of 60346 are 2, 11, 13, 211. Prime factorization of 60346 in exponential form is:

60346 = 2¹ × 11¹ × 13¹ × 211¹

Step-3: Factors of 60342

List of positive integer factors of 60342 that divides 60342 without a remainder.

1, 2, 3, 6, 89, 113, 178, 226, 267, 339, 534, 678, 10057, 20114, 30171

Step-4: Factors of 60346

List of positive integer factors of 60346 that divides 60342 without a remainder.

1, 2, 11, 13, 22, 26, 143, 211, 286, 422, 2321, 2743, 4642, 5486, 30173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60342 and 60346. The biggest common factor number is the GCF number.
So the greatest common factor 60342 and 60346 is 2.

Also check out the Least Common Multiple of 60342 and 60346