What is the Greatest Common Factor of 60314 and 60319?

Greatest common factor (GCF) of 60314 and 60319 is 1.

GCF(60314,60319) = 1

We will now calculate the prime factors of 60314 and 60319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60314 and 60319.

How to find the GCF of 60314 and 60319?

We will first find the prime factorization of 60314 and 60319. After we will calculate the factors of 60314 and 60319 and find the biggest common factor number .

Step-1: Prime Factorization of 60314

Prime factors of 60314 are 2, 53, 569. Prime factorization of 60314 in exponential form is:

60314 = 2¹ × 53¹ × 569¹

Step-2: Prime Factorization of 60319

Prime factors of 60319 are 7, 1231. Prime factorization of 60319 in exponential form is:

60319 = 7² × 1231¹

Step-3: Factors of 60314

List of positive integer factors of 60314 that divides 60314 without a remainder.

1, 2, 53, 106, 569, 1138, 30157

Step-4: Factors of 60319

List of positive integer factors of 60319 that divides 60314 without a remainder.

1, 7, 49, 1231, 8617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60314 and 60319. The biggest common factor number is the GCF number.
So the greatest common factor 60314 and 60319 is 1.

Also check out the Least Common Multiple of 60314 and 60319