What is the Greatest Common Factor of 60312 and 60326?

Greatest common factor (GCF) of 60312 and 60326 is 14.

GCF(60312,60326) = 14

We will now calculate the prime factors of 60312 and 60326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60312 and 60326.

How to find the GCF of 60312 and 60326?

We will first find the prime factorization of 60312 and 60326. After we will calculate the factors of 60312 and 60326 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 60326

Prime factors of 60326 are 2, 7, 31, 139. Prime factorization of 60326 in exponential form is:

60326 = 2¹ × 7¹ × 31¹ × 139¹

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 60326

List of positive integer factors of 60326 that divides 60312 without a remainder.

1, 2, 7, 14, 31, 62, 139, 217, 278, 434, 973, 1946, 4309, 8618, 30163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60312 and 60326. The biggest common factor number is the GCF number.
So the greatest common factor 60312 and 60326 is 14.

Also check out the Least Common Multiple of 60312 and 60326