What is the Greatest Common Factor of 70414 and 70431?

Greatest common factor (GCF) of 70414 and 70431 is 17.

GCF(70414,70431) = 17

We will now calculate the prime factors of 70414 and 70431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70414 and 70431.

How to find the GCF of 70414 and 70431?

We will first find the prime factorization of 70414 and 70431. After we will calculate the factors of 70414 and 70431 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70431

Prime factors of 70431 are 3, 17, 1381. Prime factorization of 70431 in exponential form is:

70431 = 3¹ × 17¹ × 1381¹

Step-3: Factors of 70414

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

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

Step-4: Factors of 70431

List of positive integer factors of 70431 that divides 70414 without a remainder.

1, 3, 17, 51, 1381, 4143, 23477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70414 and 70431. The biggest common factor number is the GCF number.
So the greatest common factor 70414 and 70431 is 17.

Also check out the Least Common Multiple of 70414 and 70431