What is the Greatest Common Factor of 62384 and 62398?

Greatest common factor (GCF) of 62384 and 62398 is 14.

GCF(62384,62398) = 14

We will now calculate the prime factors of 62384 and 62398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62384 and 62398.

How to find the GCF of 62384 and 62398?

We will first find the prime factorization of 62384 and 62398. After we will calculate the factors of 62384 and 62398 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62398

Prime factors of 62398 are 2, 7, 4457. Prime factorization of 62398 in exponential form is:

62398 = 2¹ × 7¹ × 4457¹

Step-3: Factors of 62384

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

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

Step-4: Factors of 62398

List of positive integer factors of 62398 that divides 62384 without a remainder.

1, 2, 7, 14, 4457, 8914, 31199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62384 and 62398. The biggest common factor number is the GCF number.
So the greatest common factor 62384 and 62398 is 14.

Also check out the Least Common Multiple of 62384 and 62398