What is the Greatest Common Factor of 70397 and 70414?

Greatest common factor (GCF) of 70397 and 70414 is 17.

GCF(70397,70414) = 17

We will now calculate the prime factors of 70397 and 70414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70397 and 70414.

How to find the GCF of 70397 and 70414?

We will first find the prime factorization of 70397 and 70414. After we will calculate the factors of 70397 and 70414 and find the biggest common factor number .

Step-1: Prime Factorization of 70397

Prime factors of 70397 are 17, 41, 101. Prime factorization of 70397 in exponential form is:

70397 = 17¹ × 41¹ × 101¹

Step-2: Prime Factorization of 70414

Prime factors of 70414 are 2, 17, 19, 109. Prime factorization of 70414 in exponential form is:

70414 = 2¹ × 17¹ × 19¹ × 109¹

Step-3: Factors of 70397

List of positive integer factors of 70397 that divides 70397 without a remainder.

1, 17, 41, 101, 697, 1717, 4141

Step-4: Factors of 70414

List of positive integer factors of 70414 that divides 70397 without a remainder.

1, 2, 17, 19, 34, 38, 109, 218, 323, 646, 1853, 2071, 3706, 4142, 35207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70397 and 70414. The biggest common factor number is the GCF number.
So the greatest common factor 70397 and 70414 is 17.

Also check out the Least Common Multiple of 70397 and 70414