What is the Greatest Common Factor of 62288 and 62294?

Greatest common factor (GCF) of 62288 and 62294 is 2.

GCF(62288,62294) = 2

We will now calculate the prime factors of 62288 and 62294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62288 and 62294.

How to find the GCF of 62288 and 62294?

We will first find the prime factorization of 62288 and 62294. After we will calculate the factors of 62288 and 62294 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 62294

Prime factors of 62294 are 2, 31147. Prime factorization of 62294 in exponential form is:

62294 = 2¹ × 31147¹

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 62294

List of positive integer factors of 62294 that divides 62288 without a remainder.

1, 2, 31147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62288 and 62294. The biggest common factor number is the GCF number.
So the greatest common factor 62288 and 62294 is 2.

Also check out the Least Common Multiple of 62288 and 62294