What is the Greatest Common Factor of 83032 and 83052?

Greatest common factor (GCF) of 83032 and 83052 is 4.

GCF(83032,83052) = 4

We will now calculate the prime factors of 83032 and 83052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83032 and 83052.

How to find the GCF of 83032 and 83052?

We will first find the prime factorization of 83032 and 83052. After we will calculate the factors of 83032 and 83052 and find the biggest common factor number .

Step-1: Prime Factorization of 83032

Prime factors of 83032 are 2, 97, 107. Prime factorization of 83032 in exponential form is:

83032 = 2³ × 97¹ × 107¹

Step-2: Prime Factorization of 83052

Prime factors of 83052 are 2, 3, 769. Prime factorization of 83052 in exponential form is:

83052 = 2² × 3³ × 769¹

Step-3: Factors of 83032

List of positive integer factors of 83032 that divides 83032 without a remainder.

1, 2, 4, 8, 97, 107, 194, 214, 388, 428, 776, 856, 10379, 20758, 41516

Step-4: Factors of 83052

List of positive integer factors of 83052 that divides 83032 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 769, 1538, 2307, 3076, 4614, 6921, 9228, 13842, 20763, 27684, 41526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83032 and 83052. The biggest common factor number is the GCF number.
So the greatest common factor 83032 and 83052 is 4.

Also check out the Least Common Multiple of 83032 and 83052