What is the Greatest Common Factor of 60349 and 60366?

Greatest common factor (GCF) of 60349 and 60366 is 1.

GCF(60349,60366) = 1

We will now calculate the prime factors of 60349 and 60366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60349 and 60366.

How to find the GCF of 60349 and 60366?

We will first find the prime factorization of 60349 and 60366. After we will calculate the factors of 60349 and 60366 and find the biggest common factor number .

Step-1: Prime Factorization of 60349

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

60349 = 29¹ × 2081¹

Step-2: Prime Factorization of 60366

Prime factors of 60366 are 2, 3, 10061. Prime factorization of 60366 in exponential form is:

60366 = 2¹ × 3¹ × 10061¹

Step-3: Factors of 60349

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

1, 29, 2081

Step-4: Factors of 60366

List of positive integer factors of 60366 that divides 60349 without a remainder.

1, 2, 3, 6, 10061, 20122, 30183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60349 and 60366. The biggest common factor number is the GCF number.
So the greatest common factor 60349 and 60366 is 1.

Also check out the Least Common Multiple of 60349 and 60366