What is the Greatest Common Factor of 69408 and 69413?

Greatest common factor (GCF) of 69408 and 69413 is 1.

GCF(69408,69413) = 1

We will now calculate the prime factors of 69408 and 69413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69408 and 69413.

How to find the GCF of 69408 and 69413?

We will first find the prime factorization of 69408 and 69413. After we will calculate the factors of 69408 and 69413 and find the biggest common factor number .

Step-1: Prime Factorization of 69408

Prime factors of 69408 are 2, 3, 241. Prime factorization of 69408 in exponential form is:

69408 = 2⁵ × 3² × 241¹

Step-2: Prime Factorization of 69413

Prime factors of 69413 are 41, 1693. Prime factorization of 69413 in exponential form is:

69413 = 41¹ × 1693¹

Step-3: Factors of 69408

List of positive integer factors of 69408 that divides 69408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 241, 288, 482, 723, 964, 1446, 1928, 2169, 2892, 3856, 4338, 5784, 7712, 8676, 11568, 17352, 23136, 34704

Step-4: Factors of 69413

List of positive integer factors of 69413 that divides 69408 without a remainder.

1, 41, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69408 and 69413. The biggest common factor number is the GCF number.
So the greatest common factor 69408 and 69413 is 1.

Also check out the Least Common Multiple of 69408 and 69413