What is the Greatest Common Factor of 63969 and 63988?

Greatest common factor (GCF) of 63969 and 63988 is 1.

GCF(63969,63988) = 1

We will now calculate the prime factors of 63969 and 63988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63969 and 63988.

How to find the GCF of 63969 and 63988?

We will first find the prime factorization of 63969 and 63988. After we will calculate the factors of 63969 and 63988 and find the biggest common factor number .

Step-1: Prime Factorization of 63969

Prime factors of 63969 are 3, 21323. Prime factorization of 63969 in exponential form is:

63969 = 3¹ × 21323¹

Step-2: Prime Factorization of 63988

Prime factors of 63988 are 2, 17, 941. Prime factorization of 63988 in exponential form is:

63988 = 2² × 17¹ × 941¹

Step-3: Factors of 63969

List of positive integer factors of 63969 that divides 63969 without a remainder.

1, 3, 21323

Step-4: Factors of 63988

List of positive integer factors of 63988 that divides 63969 without a remainder.

1, 2, 4, 17, 34, 68, 941, 1882, 3764, 15997, 31994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63969 and 63988. The biggest common factor number is the GCF number.
So the greatest common factor 63969 and 63988 is 1.

Also check out the Least Common Multiple of 63969 and 63988