What is the Greatest Common Factor of 10350 and 10370?

Greatest common factor (GCF) of 10350 and 10370 is 10.

GCF(10350,10370) = 10

We will now calculate the prime factors of 10350 and 10370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10350 and 10370.

How to find the GCF of 10350 and 10370?

We will first find the prime factorization of 10350 and 10370. After we will calculate the factors of 10350 and 10370 and find the biggest common factor number .

Step-1: Prime Factorization of 10350

Prime factors of 10350 are 2, 3, 5, 23. Prime factorization of 10350 in exponential form is:

10350 = 2¹ × 3² × 5² × 23¹

Step-2: Prime Factorization of 10370

Prime factors of 10370 are 2, 5, 17, 61. Prime factorization of 10370 in exponential form is:

10370 = 2¹ × 5¹ × 17¹ × 61¹

Step-3: Factors of 10350

List of positive integer factors of 10350 that divides 10350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175

Step-4: Factors of 10370

List of positive integer factors of 10370 that divides 10350 without a remainder.

1, 2, 5, 10, 17, 34, 61, 85, 122, 170, 305, 610, 1037, 2074, 5185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10350 and 10370. The biggest common factor number is the GCF number.
So the greatest common factor 10350 and 10370 is 10.

Also check out the Least Common Multiple of 10350 and 10370