What is the Greatest Common Factor of 63374 and 63382?

Greatest common factor (GCF) of 63374 and 63382 is 2.

GCF(63374,63382) = 2

We will now calculate the prime factors of 63374 and 63382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63374 and 63382.

How to find the GCF of 63374 and 63382?

We will first find the prime factorization of 63374 and 63382. After we will calculate the factors of 63374 and 63382 and find the biggest common factor number .

Step-1: Prime Factorization of 63374

Prime factors of 63374 are 2, 31687. Prime factorization of 63374 in exponential form is:

63374 = 2¹ × 31687¹

Step-2: Prime Factorization of 63382

Prime factors of 63382 are 2, 11, 43, 67. Prime factorization of 63382 in exponential form is:

63382 = 2¹ × 11¹ × 43¹ × 67¹

Step-3: Factors of 63374

List of positive integer factors of 63374 that divides 63374 without a remainder.

1, 2, 31687

Step-4: Factors of 63382

List of positive integer factors of 63382 that divides 63374 without a remainder.

1, 2, 11, 22, 43, 67, 86, 134, 473, 737, 946, 1474, 2881, 5762, 31691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63374 and 63382. The biggest common factor number is the GCF number.
So the greatest common factor 63374 and 63382 is 2.

Also check out the Least Common Multiple of 63374 and 63382