What is the Greatest Common Factor of 63643 and 63661?

Greatest common factor (GCF) of 63643 and 63661 is 1.

GCF(63643,63661) = 1

We will now calculate the prime factors of 63643 and 63661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63643 and 63661.

How to find the GCF of 63643 and 63661?

We will first find the prime factorization of 63643 and 63661. After we will calculate the factors of 63643 and 63661 and find the biggest common factor number .

Step-1: Prime Factorization of 63643

Prime factors of 63643 are 31, 2053. Prime factorization of 63643 in exponential form is:

63643 = 31¹ × 2053¹

Step-2: Prime Factorization of 63661

Prime factors of 63661 are 13, 59, 83. Prime factorization of 63661 in exponential form is:

63661 = 13¹ × 59¹ × 83¹

Step-3: Factors of 63643

List of positive integer factors of 63643 that divides 63643 without a remainder.

1, 31, 2053

Step-4: Factors of 63661

List of positive integer factors of 63661 that divides 63643 without a remainder.

1, 13, 59, 83, 767, 1079, 4897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63643 and 63661. The biggest common factor number is the GCF number.
So the greatest common factor 63643 and 63661 is 1.

Also check out the Least Common Multiple of 63643 and 63661