What is the Greatest Common Factor of 62288 and 62306?

Greatest common factor (GCF) of 62288 and 62306 is 2.

GCF(62288,62306) = 2

We will now calculate the prime factors of 62288 and 62306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62288 and 62306.

How to find the GCF of 62288 and 62306?

We will first find the prime factorization of 62288 and 62306. After we will calculate the factors of 62288 and 62306 and find the biggest common factor number .

Step-1: Prime Factorization of 62288

Prime factors of 62288 are 2, 17, 229. Prime factorization of 62288 in exponential form is:

62288 = 2⁴ × 17¹ × 229¹

Step-2: Prime Factorization of 62306

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

62306 = 2¹ × 31153¹

Step-3: Factors of 62288

List of positive integer factors of 62288 that divides 62288 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 229, 272, 458, 916, 1832, 3664, 3893, 7786, 15572, 31144

Step-4: Factors of 62306

List of positive integer factors of 62306 that divides 62288 without a remainder.

1, 2, 31153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62288 and 62306. The biggest common factor number is the GCF number.
So the greatest common factor 62288 and 62306 is 2.

Also check out the Least Common Multiple of 62288 and 62306