What is the Greatest Common Factor of 70700 and 70715?

Greatest common factor (GCF) of 70700 and 70715 is 5.

GCF(70700,70715) = 5

We will now calculate the prime factors of 70700 and 70715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70700 and 70715.

How to find the GCF of 70700 and 70715?

We will first find the prime factorization of 70700 and 70715. After we will calculate the factors of 70700 and 70715 and find the biggest common factor number .

Step-1: Prime Factorization of 70700

Prime factors of 70700 are 2, 5, 7, 101. Prime factorization of 70700 in exponential form is:

70700 = 2² × 5² × 7¹ × 101¹

Step-2: Prime Factorization of 70715

Prime factors of 70715 are 5, 14143. Prime factorization of 70715 in exponential form is:

70715 = 5¹ × 14143¹

Step-3: Factors of 70700

List of positive integer factors of 70700 that divides 70700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 101, 140, 175, 202, 350, 404, 505, 700, 707, 1010, 1414, 2020, 2525, 2828, 3535, 5050, 7070, 10100, 14140, 17675, 35350

Step-4: Factors of 70715

List of positive integer factors of 70715 that divides 70700 without a remainder.

1, 5, 14143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70700 and 70715. The biggest common factor number is the GCF number.
So the greatest common factor 70700 and 70715 is 5.

Also check out the Least Common Multiple of 70700 and 70715