What is the Greatest Common Factor of 63682 and 63698?

Greatest common factor (GCF) of 63682 and 63698 is 2.

GCF(63682,63698) = 2

We will now calculate the prime factors of 63682 and 63698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63682 and 63698.

How to find the GCF of 63682 and 63698?

We will first find the prime factorization of 63682 and 63698. After we will calculate the factors of 63682 and 63698 and find the biggest common factor number .

Step-1: Prime Factorization of 63682

Prime factors of 63682 are 2, 17, 1873. Prime factorization of 63682 in exponential form is:

63682 = 2¹ × 17¹ × 1873¹

Step-2: Prime Factorization of 63698

Prime factors of 63698 are 2, 31849. Prime factorization of 63698 in exponential form is:

63698 = 2¹ × 31849¹

Step-3: Factors of 63682

List of positive integer factors of 63682 that divides 63682 without a remainder.

1, 2, 17, 34, 1873, 3746, 31841

Step-4: Factors of 63698

List of positive integer factors of 63698 that divides 63682 without a remainder.

1, 2, 31849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63682 and 63698. The biggest common factor number is the GCF number.
So the greatest common factor 63682 and 63698 is 2.

Also check out the Least Common Multiple of 63682 and 63698