What is the Greatest Common Factor of 62298 and 62316?

Greatest common factor (GCF) of 62298 and 62316 is 18.

GCF(62298,62316) = 18

We will now calculate the prime factors of 62298 and 62316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62298 and 62316.

How to find the GCF of 62298 and 62316?

We will first find the prime factorization of 62298 and 62316. After we will calculate the factors of 62298 and 62316 and find the biggest common factor number .

Step-1: Prime Factorization of 62298

Prime factors of 62298 are 2, 3, 3461. Prime factorization of 62298 in exponential form is:

62298 = 2¹ × 3² × 3461¹

Step-2: Prime Factorization of 62316

Prime factors of 62316 are 2, 3, 577. Prime factorization of 62316 in exponential form is:

62316 = 2² × 3³ × 577¹

Step-3: Factors of 62298

List of positive integer factors of 62298 that divides 62298 without a remainder.

1, 2, 3, 6, 9, 18, 3461, 6922, 10383, 20766, 31149

Step-4: Factors of 62316

List of positive integer factors of 62316 that divides 62298 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 577, 1154, 1731, 2308, 3462, 5193, 6924, 10386, 15579, 20772, 31158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62298 and 62316. The biggest common factor number is the GCF number.
So the greatest common factor 62298 and 62316 is 18.

Also check out the Least Common Multiple of 62298 and 62316