What is the Greatest Common Factor of 69409 and 69414?

Greatest common factor (GCF) of 69409 and 69414 is 1.

GCF(69409,69414) = 1

We will now calculate the prime factors of 69409 and 69414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69409 and 69414.

How to find the GCF of 69409 and 69414?

We will first find the prime factorization of 69409 and 69414. After we will calculate the factors of 69409 and 69414 and find the biggest common factor number .

Step-1: Prime Factorization of 69409

Prime factors of 69409 are 31, 2239. Prime factorization of 69409 in exponential form is:

69409 = 31¹ × 2239¹

Step-2: Prime Factorization of 69414

Prime factors of 69414 are 2, 3, 23, 503. Prime factorization of 69414 in exponential form is:

69414 = 2¹ × 3¹ × 23¹ × 503¹

Step-3: Factors of 69409

List of positive integer factors of 69409 that divides 69409 without a remainder.

1, 31, 2239

Step-4: Factors of 69414

List of positive integer factors of 69414 that divides 69409 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 503, 1006, 1509, 3018, 11569, 23138, 34707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69409 and 69414. The biggest common factor number is the GCF number.
So the greatest common factor 69409 and 69414 is 1.

Also check out the Least Common Multiple of 69409 and 69414