What is the Greatest Common Factor of 10953 and 10968?

Greatest common factor (GCF) of 10953 and 10968 is 3.

GCF(10953,10968) = 3

We will now calculate the prime factors of 10953 and 10968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10953 and 10968.

How to find the GCF of 10953 and 10968?

We will first find the prime factorization of 10953 and 10968. After we will calculate the factors of 10953 and 10968 and find the biggest common factor number .

Step-1: Prime Factorization of 10953

Prime factors of 10953 are 3, 1217. Prime factorization of 10953 in exponential form is:

10953 = 3² × 1217¹

Step-2: Prime Factorization of 10968

Prime factors of 10968 are 2, 3, 457. Prime factorization of 10968 in exponential form is:

10968 = 2³ × 3¹ × 457¹

Step-3: Factors of 10953

List of positive integer factors of 10953 that divides 10953 without a remainder.

1, 3, 9, 1217, 3651

Step-4: Factors of 10968

List of positive integer factors of 10968 that divides 10953 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 457, 914, 1371, 1828, 2742, 3656, 5484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10953 and 10968. The biggest common factor number is the GCF number.
So the greatest common factor 10953 and 10968 is 3.

Also check out the Least Common Multiple of 10953 and 10968