What is the Greatest Common Factor of 63706 and 63721?

Greatest common factor (GCF) of 63706 and 63721 is 1.

GCF(63706,63721) = 1

We will now calculate the prime factors of 63706 and 63721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63706 and 63721.

How to find the GCF of 63706 and 63721?

We will first find the prime factorization of 63706 and 63721. After we will calculate the factors of 63706 and 63721 and find the biggest common factor number .

Step-1: Prime Factorization of 63706

Prime factors of 63706 are 2, 53, 601. Prime factorization of 63706 in exponential form is:

63706 = 2¹ × 53¹ × 601¹

Step-2: Prime Factorization of 63721

Prime factors of 63721 are 7, 9103. Prime factorization of 63721 in exponential form is:

63721 = 7¹ × 9103¹

Step-3: Factors of 63706

List of positive integer factors of 63706 that divides 63706 without a remainder.

1, 2, 53, 106, 601, 1202, 31853

Step-4: Factors of 63721

List of positive integer factors of 63721 that divides 63706 without a remainder.

1, 7, 9103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63706 and 63721. The biggest common factor number is the GCF number.
So the greatest common factor 63706 and 63721 is 1.

Also check out the Least Common Multiple of 63706 and 63721