What is the Greatest Common Factor of 83434 and 83447?

Greatest common factor (GCF) of 83434 and 83447 is 13.

GCF(83434,83447) = 13

We will now calculate the prime factors of 83434 and 83447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83434 and 83447.

How to find the GCF of 83434 and 83447?

We will first find the prime factorization of 83434 and 83447. After we will calculate the factors of 83434 and 83447 and find the biggest common factor number .

Step-1: Prime Factorization of 83434

Prime factors of 83434 are 2, 13, 3209. Prime factorization of 83434 in exponential form is:

83434 = 2¹ × 13¹ × 3209¹

Step-2: Prime Factorization of 83447

Prime factors of 83447 are 7, 13, 131. Prime factorization of 83447 in exponential form is:

83447 = 7² × 13¹ × 131¹

Step-3: Factors of 83434

List of positive integer factors of 83434 that divides 83434 without a remainder.

1, 2, 13, 26, 3209, 6418, 41717

Step-4: Factors of 83447

List of positive integer factors of 83447 that divides 83434 without a remainder.

1, 7, 13, 49, 91, 131, 637, 917, 1703, 6419, 11921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83434 and 83447. The biggest common factor number is the GCF number.
So the greatest common factor 83434 and 83447 is 13.

Also check out the Least Common Multiple of 83434 and 83447