What is the Greatest Common Factor of 10950 and 10960?

Greatest common factor (GCF) of 10950 and 10960 is 10.

GCF(10950,10960) = 10

We will now calculate the prime factors of 10950 and 10960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10950 and 10960.

How to find the GCF of 10950 and 10960?

We will first find the prime factorization of 10950 and 10960. After we will calculate the factors of 10950 and 10960 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 10960

Prime factors of 10960 are 2, 5, 137. Prime factorization of 10960 in exponential form is:

10960 = 2⁴ × 5¹ × 137¹

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 10960

List of positive integer factors of 10960 that divides 10950 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 137, 274, 548, 685, 1096, 1370, 2192, 2740, 5480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10950 and 10960. The biggest common factor number is the GCF number.
So the greatest common factor 10950 and 10960 is 10.

Also check out the Least Common Multiple of 10950 and 10960