What is the Greatest Common Factor of 83428 and 83447?

Greatest common factor (GCF) of 83428 and 83447 is 1.

GCF(83428,83447) = 1

We will now calculate the prime factors of 83428 and 83447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83428 and 83447.

How to find the GCF of 83428 and 83447?

We will first find the prime factorization of 83428 and 83447. After we will calculate the factors of 83428 and 83447 and find the biggest common factor number .

Step-1: Prime Factorization of 83428

Prime factors of 83428 are 2, 20857. Prime factorization of 83428 in exponential form is:

83428 = 2² × 20857¹

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 83428

List of positive integer factors of 83428 that divides 83428 without a remainder.

1, 2, 4, 20857, 41714

Step-4: Factors of 83447

List of positive integer factors of 83447 that divides 83428 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 83428 and 83447. The biggest common factor number is the GCF number.
So the greatest common factor 83428 and 83447 is 1.

Also check out the Least Common Multiple of 83428 and 83447