What is the Greatest Common Factor of 34442 and 34447?

Greatest common factor (GCF) of 34442 and 34447 is 1.

GCF(34442,34447) = 1

We will now calculate the prime factors of 34442 and 34447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34442 and 34447.

How to find the GCF of 34442 and 34447?

We will first find the prime factorization of 34442 and 34447. After we will calculate the factors of 34442 and 34447 and find the biggest common factor number .

Step-1: Prime Factorization of 34442

Prime factors of 34442 are 2, 17, 1013. Prime factorization of 34442 in exponential form is:

34442 = 2¹ × 17¹ × 1013¹

Step-2: Prime Factorization of 34447

Prime factors of 34447 are 7, 19, 37. Prime factorization of 34447 in exponential form is:

34447 = 7² × 19¹ × 37¹

Step-3: Factors of 34442

List of positive integer factors of 34442 that divides 34442 without a remainder.

1, 2, 17, 34, 1013, 2026, 17221

Step-4: Factors of 34447

List of positive integer factors of 34447 that divides 34442 without a remainder.

1, 7, 19, 37, 49, 133, 259, 703, 931, 1813, 4921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34442 and 34447. The biggest common factor number is the GCF number.
So the greatest common factor 34442 and 34447 is 1.

Also check out the Least Common Multiple of 34442 and 34447