What is the Greatest Common Factor of 70409 and 70417?

Greatest common factor (GCF) of 70409 and 70417 is 1.

GCF(70409,70417) = 1

We will now calculate the prime factors of 70409 and 70417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70409 and 70417.

How to find the GCF of 70409 and 70417?

We will first find the prime factorization of 70409 and 70417. After we will calculate the factors of 70409 and 70417 and find the biggest common factor number .

Step-1: Prime Factorization of 70409

Prime factors of 70409 are 181, 389. Prime factorization of 70409 in exponential form is:

70409 = 181¹ × 389¹

Step-2: Prime Factorization of 70417

Prime factors of 70417 are 67, 1051. Prime factorization of 70417 in exponential form is:

70417 = 67¹ × 1051¹

Step-3: Factors of 70409

List of positive integer factors of 70409 that divides 70409 without a remainder.

1, 181, 389

Step-4: Factors of 70417

List of positive integer factors of 70417 that divides 70409 without a remainder.

1, 67, 1051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70409 and 70417. The biggest common factor number is the GCF number.
So the greatest common factor 70409 and 70417 is 1.

Also check out the Least Common Multiple of 70409 and 70417