What is the Greatest Common Factor of 10670 and 10681?

Greatest common factor (GCF) of 10670 and 10681 is 11.

GCF(10670,10681) = 11

We will now calculate the prime factors of 10670 and 10681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10670 and 10681.

How to find the GCF of 10670 and 10681?

We will first find the prime factorization of 10670 and 10681. After we will calculate the factors of 10670 and 10681 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 10681

Prime factors of 10681 are 11, 971. Prime factorization of 10681 in exponential form is:

10681 = 11¹ × 971¹

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 10681

List of positive integer factors of 10681 that divides 10670 without a remainder.

1, 11, 971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10670 and 10681. The biggest common factor number is the GCF number.
So the greatest common factor 10670 and 10681 is 11.

Also check out the Least Common Multiple of 10670 and 10681