What is the Greatest Common Factor of 10670 and 10690?

Greatest common factor (GCF) of 10670 and 10690 is 10.

GCF(10670,10690) = 10

We will now calculate the prime factors of 10670 and 10690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10670 and 10690.

How to find the GCF of 10670 and 10690?

We will first find the prime factorization of 10670 and 10690. After we will calculate the factors of 10670 and 10690 and find the biggest common factor number .

Step-1: Prime Factorization of 10670

Prime factors of 10670 are 2, 5, 11, 97. Prime factorization of 10670 in exponential form is:

10670 = 2¹ × 5¹ × 11¹ × 97¹

Step-2: Prime Factorization of 10690

Prime factors of 10690 are 2, 5, 1069. Prime factorization of 10690 in exponential form is:

10690 = 2¹ × 5¹ × 1069¹

Step-3: Factors of 10670

List of positive integer factors of 10670 that divides 10670 without a remainder.

1, 2, 5, 10, 11, 22, 55, 97, 110, 194, 485, 970, 1067, 2134, 5335

Step-4: Factors of 10690

List of positive integer factors of 10690 that divides 10670 without a remainder.

1, 2, 5, 10, 1069, 2138, 5345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10670 and 10690. The biggest common factor number is the GCF number.
So the greatest common factor 10670 and 10690 is 10.

Also check out the Least Common Multiple of 10670 and 10690