What is the Greatest Common Factor of 60954 and 60963?

Greatest common factor (GCF) of 60954 and 60963 is 3.

GCF(60954,60963) = 3

We will now calculate the prime factors of 60954 and 60963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60954 and 60963.

How to find the GCF of 60954 and 60963?

We will first find the prime factorization of 60954 and 60963. After we will calculate the factors of 60954 and 60963 and find the biggest common factor number .

Step-1: Prime Factorization of 60954

Prime factors of 60954 are 2, 3, 10159. Prime factorization of 60954 in exponential form is:

60954 = 2¹ × 3¹ × 10159¹

Step-2: Prime Factorization of 60963

Prime factors of 60963 are 3, 7, 2903. Prime factorization of 60963 in exponential form is:

60963 = 3¹ × 7¹ × 2903¹

Step-3: Factors of 60954

List of positive integer factors of 60954 that divides 60954 without a remainder.

1, 2, 3, 6, 10159, 20318, 30477

Step-4: Factors of 60963

List of positive integer factors of 60963 that divides 60954 without a remainder.

1, 3, 7, 21, 2903, 8709, 20321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60954 and 60963. The biggest common factor number is the GCF number.
So the greatest common factor 60954 and 60963 is 3.

Also check out the Least Common Multiple of 60954 and 60963