What is the Greatest Common Factor of 62306 and 62312?

Greatest common factor (GCF) of 62306 and 62312 is 2.

GCF(62306,62312) = 2

We will now calculate the prime factors of 62306 and 62312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62306 and 62312.

How to find the GCF of 62306 and 62312?

We will first find the prime factorization of 62306 and 62312. After we will calculate the factors of 62306 and 62312 and find the biggest common factor number .

Step-1: Prime Factorization of 62306

Prime factors of 62306 are 2, 31153. Prime factorization of 62306 in exponential form is:

62306 = 2¹ × 31153¹

Step-2: Prime Factorization of 62312

Prime factors of 62312 are 2, 7789. Prime factorization of 62312 in exponential form is:

62312 = 2³ × 7789¹

Step-3: Factors of 62306

List of positive integer factors of 62306 that divides 62306 without a remainder.

1, 2, 31153

Step-4: Factors of 62312

List of positive integer factors of 62312 that divides 62306 without a remainder.

1, 2, 4, 8, 7789, 15578, 31156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62306 and 62312. The biggest common factor number is the GCF number.
So the greatest common factor 62306 and 62312 is 2.

Also check out the Least Common Multiple of 62306 and 62312