What is the Greatest Common Factor of 83455 and 83470?

Greatest common factor (GCF) of 83455 and 83470 is 5.

GCF(83455,83470) = 5

We will now calculate the prime factors of 83455 and 83470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83455 and 83470.

How to find the GCF of 83455 and 83470?

We will first find the prime factorization of 83455 and 83470. After we will calculate the factors of 83455 and 83470 and find the biggest common factor number .

Step-1: Prime Factorization of 83455

Prime factors of 83455 are 5, 16691. Prime factorization of 83455 in exponential form is:

83455 = 5¹ × 16691¹

Step-2: Prime Factorization of 83470

Prime factors of 83470 are 2, 5, 17, 491. Prime factorization of 83470 in exponential form is:

83470 = 2¹ × 5¹ × 17¹ × 491¹

Step-3: Factors of 83455

List of positive integer factors of 83455 that divides 83455 without a remainder.

1, 5, 16691

Step-4: Factors of 83470

List of positive integer factors of 83470 that divides 83455 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 491, 982, 2455, 4910, 8347, 16694, 41735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83455 and 83470. The biggest common factor number is the GCF number.
So the greatest common factor 83455 and 83470 is 5.

Also check out the Least Common Multiple of 83455 and 83470