What is the Greatest Common Factor of 83452 and 83470?

Greatest common factor (GCF) of 83452 and 83470 is 2.

GCF(83452,83470) = 2

We will now calculate the prime factors of 83452 and 83470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83452 and 83470.

How to find the GCF of 83452 and 83470?

We will first find the prime factorization of 83452 and 83470. After we will calculate the factors of 83452 and 83470 and find the biggest common factor number .

Step-1: Prime Factorization of 83452

Prime factors of 83452 are 2, 31, 673. Prime factorization of 83452 in exponential form is:

83452 = 2² × 31¹ × 673¹

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 83452

List of positive integer factors of 83452 that divides 83452 without a remainder.

1, 2, 4, 31, 62, 124, 673, 1346, 2692, 20863, 41726

Step-4: Factors of 83470

List of positive integer factors of 83470 that divides 83452 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 83452 and 83470. The biggest common factor number is the GCF number.
So the greatest common factor 83452 and 83470 is 2.

Also check out the Least Common Multiple of 83452 and 83470