What is the Greatest Common Factor of 32954 and 32963?

Greatest common factor (GCF) of 32954 and 32963 is 1.

GCF(32954,32963) = 1

We will now calculate the prime factors of 32954 and 32963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32954 and 32963.

How to find the GCF of 32954 and 32963?

We will first find the prime factorization of 32954 and 32963. After we will calculate the factors of 32954 and 32963 and find the biggest common factor number .

Step-1: Prime Factorization of 32954

Prime factors of 32954 are 2, 16477. Prime factorization of 32954 in exponential form is:

32954 = 2¹ × 16477¹

Step-2: Prime Factorization of 32963

Prime factors of 32963 are 7, 17, 277. Prime factorization of 32963 in exponential form is:

32963 = 7¹ × 17¹ × 277¹

Step-3: Factors of 32954

List of positive integer factors of 32954 that divides 32954 without a remainder.

1, 2, 16477

Step-4: Factors of 32963

List of positive integer factors of 32963 that divides 32954 without a remainder.

1, 7, 17, 119, 277, 1939, 4709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32954 and 32963. The biggest common factor number is the GCF number.
So the greatest common factor 32954 and 32963 is 1.

Also check out the Least Common Multiple of 32954 and 32963