What is the Greatest Common Factor of 70705 and 70710?

Greatest common factor (GCF) of 70705 and 70710 is 5.

GCF(70705,70710) = 5

We will now calculate the prime factors of 70705 and 70710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70705 and 70710.

How to find the GCF of 70705 and 70710?

We will first find the prime factorization of 70705 and 70710. After we will calculate the factors of 70705 and 70710 and find the biggest common factor number .

Step-1: Prime Factorization of 70705

Prime factors of 70705 are 5, 79, 179. Prime factorization of 70705 in exponential form is:

70705 = 5¹ × 79¹ × 179¹

Step-2: Prime Factorization of 70710

Prime factors of 70710 are 2, 3, 5, 2357. Prime factorization of 70710 in exponential form is:

70710 = 2¹ × 3¹ × 5¹ × 2357¹

Step-3: Factors of 70705

List of positive integer factors of 70705 that divides 70705 without a remainder.

1, 5, 79, 179, 395, 895, 14141

Step-4: Factors of 70710

List of positive integer factors of 70710 that divides 70705 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2357, 4714, 7071, 11785, 14142, 23570, 35355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70705 and 70710. The biggest common factor number is the GCF number.
So the greatest common factor 70705 and 70710 is 5.

Also check out the Least Common Multiple of 70705 and 70710