What is the Greatest Common Factor of 63344 and 63358?

Greatest common factor (GCF) of 63344 and 63358 is 2.

GCF(63344,63358) = 2

We will now calculate the prime factors of 63344 and 63358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63344 and 63358.

How to find the GCF of 63344 and 63358?

We will first find the prime factorization of 63344 and 63358. After we will calculate the factors of 63344 and 63358 and find the biggest common factor number .

Step-1: Prime Factorization of 63344

Prime factors of 63344 are 2, 37, 107. Prime factorization of 63344 in exponential form is:

63344 = 2⁴ × 37¹ × 107¹

Step-2: Prime Factorization of 63358

Prime factors of 63358 are 2, 79, 401. Prime factorization of 63358 in exponential form is:

63358 = 2¹ × 79¹ × 401¹

Step-3: Factors of 63344

List of positive integer factors of 63344 that divides 63344 without a remainder.

1, 2, 4, 8, 16, 37, 74, 107, 148, 214, 296, 428, 592, 856, 1712, 3959, 7918, 15836, 31672

Step-4: Factors of 63358

List of positive integer factors of 63358 that divides 63344 without a remainder.

1, 2, 79, 158, 401, 802, 31679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63344 and 63358. The biggest common factor number is the GCF number.
So the greatest common factor 63344 and 63358 is 2.

Also check out the Least Common Multiple of 63344 and 63358