What is the Greatest Common Factor of 10950 and 10963?

Greatest common factor (GCF) of 10950 and 10963 is 1.

GCF(10950,10963) = 1

We will now calculate the prime factors of 10950 and 10963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10950 and 10963.

How to find the GCF of 10950 and 10963?

We will first find the prime factorization of 10950 and 10963. After we will calculate the factors of 10950 and 10963 and find the biggest common factor number .

Step-1: Prime Factorization of 10950

Prime factors of 10950 are 2, 3, 5, 73. Prime factorization of 10950 in exponential form is:

10950 = 2¹ × 3¹ × 5² × 73¹

Step-2: Prime Factorization of 10963

Prime factors of 10963 are 19, 577. Prime factorization of 10963 in exponential form is:

10963 = 19¹ × 577¹

Step-3: Factors of 10950

List of positive integer factors of 10950 that divides 10950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 146, 150, 219, 365, 438, 730, 1095, 1825, 2190, 3650, 5475

Step-4: Factors of 10963

List of positive integer factors of 10963 that divides 10950 without a remainder.

1, 19, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10950 and 10963. The biggest common factor number is the GCF number.
So the greatest common factor 10950 and 10963 is 1.

Also check out the Least Common Multiple of 10950 and 10963