What is the Greatest Common Factor of 62366 and 62384?

Greatest common factor (GCF) of 62366 and 62384 is 2.

GCF(62366,62384) = 2

We will now calculate the prime factors of 62366 and 62384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62366 and 62384.

How to find the GCF of 62366 and 62384?

We will first find the prime factorization of 62366 and 62384. After we will calculate the factors of 62366 and 62384 and find the biggest common factor number .

Step-1: Prime Factorization of 62366

Prime factors of 62366 are 2, 31183. Prime factorization of 62366 in exponential form is:

62366 = 2¹ × 31183¹

Step-2: Prime Factorization of 62384

Prime factors of 62384 are 2, 7, 557. Prime factorization of 62384 in exponential form is:

62384 = 2⁴ × 7¹ × 557¹

Step-3: Factors of 62366

List of positive integer factors of 62366 that divides 62366 without a remainder.

1, 2, 31183

Step-4: Factors of 62384

List of positive integer factors of 62384 that divides 62366 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 557, 1114, 2228, 3899, 4456, 7798, 8912, 15596, 31192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62366 and 62384. The biggest common factor number is the GCF number.
So the greatest common factor 62366 and 62384 is 2.

Also check out the Least Common Multiple of 62366 and 62384