What is the Greatest Common Factor of 63814 and 63832?

Greatest common factor (GCF) of 63814 and 63832 is 2.

GCF(63814,63832) = 2

We will now calculate the prime factors of 63814 and 63832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63814 and 63832.

How to find the GCF of 63814 and 63832?

We will first find the prime factorization of 63814 and 63832. After we will calculate the factors of 63814 and 63832 and find the biggest common factor number .

Step-1: Prime Factorization of 63814

Prime factors of 63814 are 2, 31907. Prime factorization of 63814 in exponential form is:

63814 = 2¹ × 31907¹

Step-2: Prime Factorization of 63832

Prime factors of 63832 are 2, 79, 101. Prime factorization of 63832 in exponential form is:

63832 = 2³ × 79¹ × 101¹

Step-3: Factors of 63814

List of positive integer factors of 63814 that divides 63814 without a remainder.

1, 2, 31907

Step-4: Factors of 63832

List of positive integer factors of 63832 that divides 63814 without a remainder.

1, 2, 4, 8, 79, 101, 158, 202, 316, 404, 632, 808, 7979, 15958, 31916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63814 and 63832. The biggest common factor number is the GCF number.
So the greatest common factor 63814 and 63832 is 2.

Also check out the Least Common Multiple of 63814 and 63832