What is the Greatest Common Factor of 70670 and 70685?

Greatest common factor (GCF) of 70670 and 70685 is 5.

GCF(70670,70685) = 5

We will now calculate the prime factors of 70670 and 70685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70670 and 70685.

How to find the GCF of 70670 and 70685?

We will first find the prime factorization of 70670 and 70685. After we will calculate the factors of 70670 and 70685 and find the biggest common factor number .

Step-1: Prime Factorization of 70670

Prime factors of 70670 are 2, 5, 37, 191. Prime factorization of 70670 in exponential form is:

70670 = 2¹ × 5¹ × 37¹ × 191¹

Step-2: Prime Factorization of 70685

Prime factors of 70685 are 5, 67, 211. Prime factorization of 70685 in exponential form is:

70685 = 5¹ × 67¹ × 211¹

Step-3: Factors of 70670

List of positive integer factors of 70670 that divides 70670 without a remainder.

1, 2, 5, 10, 37, 74, 185, 191, 370, 382, 955, 1910, 7067, 14134, 35335

Step-4: Factors of 70685

List of positive integer factors of 70685 that divides 70670 without a remainder.

1, 5, 67, 211, 335, 1055, 14137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70670 and 70685. The biggest common factor number is the GCF number.
So the greatest common factor 70670 and 70685 is 5.

Also check out the Least Common Multiple of 70670 and 70685