What is the Greatest Common Factor of 60342 and 60362?

Greatest common factor (GCF) of 60342 and 60362 is 2.

GCF(60342,60362) = 2

We will now calculate the prime factors of 60342 and 60362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60342 and 60362.

How to find the GCF of 60342 and 60362?

We will first find the prime factorization of 60342 and 60362. After we will calculate the factors of 60342 and 60362 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 60362

Prime factors of 60362 are 2, 30181. Prime factorization of 60362 in exponential form is:

60362 = 2¹ × 30181¹

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 60362

List of positive integer factors of 60362 that divides 60342 without a remainder.

1, 2, 30181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60342 and 60362. The biggest common factor number is the GCF number.
So the greatest common factor 60342 and 60362 is 2.

Also check out the Least Common Multiple of 60342 and 60362