What is the Greatest Common Factor of 60312 and 60322?

Greatest common factor (GCF) of 60312 and 60322 is 2.

GCF(60312,60322) = 2

We will now calculate the prime factors of 60312 and 60322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60312 and 60322.

How to find the GCF of 60312 and 60322?

We will first find the prime factorization of 60312 and 60322. After we will calculate the factors of 60312 and 60322 and find the biggest common factor number .

Step-1: Prime Factorization of 60312

Prime factors of 60312 are 2, 3, 7, 359. Prime factorization of 60312 in exponential form is:

60312 = 2³ × 3¹ × 7¹ × 359¹

Step-2: Prime Factorization of 60322

Prime factors of 60322 are 2, 30161. Prime factorization of 60322 in exponential form is:

60322 = 2¹ × 30161¹

Step-3: Factors of 60312

List of positive integer factors of 60312 that divides 60312 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 359, 718, 1077, 1436, 2154, 2513, 2872, 4308, 5026, 7539, 8616, 10052, 15078, 20104, 30156

Step-4: Factors of 60322

List of positive integer factors of 60322 that divides 60312 without a remainder.

1, 2, 30161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60312 and 60322. The biggest common factor number is the GCF number.
So the greatest common factor 60312 and 60322 is 2.

Also check out the Least Common Multiple of 60312 and 60322