What is the Greatest Common Factor of 60342 and 60349?

Greatest common factor (GCF) of 60342 and 60349 is 1.

GCF(60342,60349) = 1

We will now calculate the prime factors of 60342 and 60349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60342 and 60349.

How to find the GCF of 60342 and 60349?

We will first find the prime factorization of 60342 and 60349. After we will calculate the factors of 60342 and 60349 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 60349

Prime factors of 60349 are 29, 2081. Prime factorization of 60349 in exponential form is:

60349 = 29¹ × 2081¹

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 60349

List of positive integer factors of 60349 that divides 60342 without a remainder.

1, 29, 2081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60342 and 60349. The biggest common factor number is the GCF number.
So the greatest common factor 60342 and 60349 is 1.

Also check out the Least Common Multiple of 60342 and 60349