What is the Greatest Common Factor of 34397 and 34410?

Greatest common factor (GCF) of 34397 and 34410 is 1.

GCF(34397,34410) = 1

We will now calculate the prime factors of 34397 and 34410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34397 and 34410.

How to find the GCF of 34397 and 34410?

We will first find the prime factorization of 34397 and 34410. After we will calculate the factors of 34397 and 34410 and find the biggest common factor number .

Step-1: Prime Factorization of 34397

Prime factors of 34397 are 11, 53, 59. Prime factorization of 34397 in exponential form is:

34397 = 11¹ × 53¹ × 59¹

Step-2: Prime Factorization of 34410

Prime factors of 34410 are 2, 3, 5, 31, 37. Prime factorization of 34410 in exponential form is:

34410 = 2¹ × 3¹ × 5¹ × 31¹ × 37¹

Step-3: Factors of 34397

List of positive integer factors of 34397 that divides 34397 without a remainder.

1, 11, 53, 59, 583, 649, 3127

Step-4: Factors of 34410

List of positive integer factors of 34410 that divides 34397 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 37, 62, 74, 93, 111, 155, 185, 186, 222, 310, 370, 465, 555, 930, 1110, 1147, 2294, 3441, 5735, 6882, 11470, 17205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34397 and 34410. The biggest common factor number is the GCF number.
So the greatest common factor 34397 and 34410 is 1.

Also check out the Least Common Multiple of 34397 and 34410