What is the Greatest Common Factor of 10700 and 10715?

Greatest common factor (GCF) of 10700 and 10715 is 5.

GCF(10700,10715) = 5

We will now calculate the prime factors of 10700 and 10715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10700 and 10715.

How to find the GCF of 10700 and 10715?

We will first find the prime factorization of 10700 and 10715. After we will calculate the factors of 10700 and 10715 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 10715

Prime factors of 10715 are 5, 2143. Prime factorization of 10715 in exponential form is:

10715 = 5¹ × 2143¹

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 10715

List of positive integer factors of 10715 that divides 10700 without a remainder.

1, 5, 2143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10700 and 10715. The biggest common factor number is the GCF number.
So the greatest common factor 10700 and 10715 is 5.

Also check out the Least Common Multiple of 10700 and 10715