What is the Greatest Common Factor of 60319 and 60336?

Greatest common factor (GCF) of 60319 and 60336 is 1.

GCF(60319,60336) = 1

We will now calculate the prime factors of 60319 and 60336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60319 and 60336.

How to find the GCF of 60319 and 60336?

We will first find the prime factorization of 60319 and 60336. After we will calculate the factors of 60319 and 60336 and find the biggest common factor number .

Step-1: Prime Factorization of 60319

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

60319 = 7² × 1231¹

Step-2: Prime Factorization of 60336

Prime factors of 60336 are 2, 3, 419. Prime factorization of 60336 in exponential form is:

60336 = 2⁴ × 3² × 419¹

Step-3: Factors of 60319

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

1, 7, 49, 1231, 8617

Step-4: Factors of 60336

List of positive integer factors of 60336 that divides 60319 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 419, 838, 1257, 1676, 2514, 3352, 3771, 5028, 6704, 7542, 10056, 15084, 20112, 30168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60319 and 60336. The biggest common factor number is the GCF number.
So the greatest common factor 60319 and 60336 is 1.

Also check out the Least Common Multiple of 60319 and 60336