What is the Greatest Common Factor of 10950 and 10962?

Greatest common factor (GCF) of 10950 and 10962 is 6.

GCF(10950,10962) = 6

We will now calculate the prime factors of 10950 and 10962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10950 and 10962.

How to find the GCF of 10950 and 10962?

We will first find the prime factorization of 10950 and 10962. After we will calculate the factors of 10950 and 10962 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 10962

Prime factors of 10962 are 2, 3, 7, 29. Prime factorization of 10962 in exponential form is:

10962 = 2¹ × 3³ × 7¹ × 29¹

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 10962

List of positive integer factors of 10962 that divides 10950 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 87, 126, 174, 189, 203, 261, 378, 406, 522, 609, 783, 1218, 1566, 1827, 3654, 5481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10950 and 10962. The biggest common factor number is the GCF number.
So the greatest common factor 10950 and 10962 is 6.

Also check out the Least Common Multiple of 10950 and 10962