What is the Greatest Common Factor of 10700 and 10709?

Greatest common factor (GCF) of 10700 and 10709 is 1.

GCF(10700,10709) = 1

We will now calculate the prime factors of 10700 and 10709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10700 and 10709.

How to find the GCF of 10700 and 10709?

We will first find the prime factorization of 10700 and 10709. After we will calculate the factors of 10700 and 10709 and find the biggest common factor number .

Step-1: Prime Factorization of 10700

Prime factors of 10700 are 2, 5, 107. Prime factorization of 10700 in exponential form is:

10700 = 2² × 5² × 107¹

Step-2: Prime Factorization of 10709

Prime factors of 10709 are 10709. Prime factorization of 10709 in exponential form is:

10709 = 10709¹

Step-3: Factors of 10700

List of positive integer factors of 10700 that divides 10700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 107, 214, 428, 535, 1070, 2140, 2675, 5350

Step-4: Factors of 10709

List of positive integer factors of 10709 that divides 10700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10700 and 10709. The biggest common factor number is the GCF number.
So the greatest common factor 10700 and 10709 is 1.

Also check out the Least Common Multiple of 10700 and 10709