What is the Greatest Common Factor of 11450 and 11470?

Greatest common factor (GCF) of 11450 and 11470 is 10.

GCF(11450,11470) = 10

We will now calculate the prime factors of 11450 and 11470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11450 and 11470.

How to find the GCF of 11450 and 11470?

We will first find the prime factorization of 11450 and 11470. After we will calculate the factors of 11450 and 11470 and find the biggest common factor number .

Step-1: Prime Factorization of 11450

Prime factors of 11450 are 2, 5, 229. Prime factorization of 11450 in exponential form is:

11450 = 2¹ × 5² × 229¹

Step-2: Prime Factorization of 11470

Prime factors of 11470 are 2, 5, 31, 37. Prime factorization of 11470 in exponential form is:

11470 = 2¹ × 5¹ × 31¹ × 37¹

Step-3: Factors of 11450

List of positive integer factors of 11450 that divides 11450 without a remainder.

1, 2, 5, 10, 25, 50, 229, 458, 1145, 2290, 5725

Step-4: Factors of 11470

List of positive integer factors of 11470 that divides 11450 without a remainder.

1, 2, 5, 10, 31, 37, 62, 74, 155, 185, 310, 370, 1147, 2294, 5735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11450 and 11470. The biggest common factor number is the GCF number.
So the greatest common factor 11450 and 11470 is 10.

Also check out the Least Common Multiple of 11450 and 11470