What is the Greatest Common Factor of 83500 and 83512?

Greatest common factor (GCF) of 83500 and 83512 is 4.

GCF(83500,83512) = 4

We will now calculate the prime factors of 83500 and 83512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83500 and 83512.

How to find the GCF of 83500 and 83512?

We will first find the prime factorization of 83500 and 83512. After we will calculate the factors of 83500 and 83512 and find the biggest common factor number .

Step-1: Prime Factorization of 83500

Prime factors of 83500 are 2, 5, 167. Prime factorization of 83500 in exponential form is:

83500 = 2² × 5³ × 167¹

Step-2: Prime Factorization of 83512

Prime factors of 83512 are 2, 11, 13, 73. Prime factorization of 83512 in exponential form is:

83512 = 2³ × 11¹ × 13¹ × 73¹

Step-3: Factors of 83500

List of positive integer factors of 83500 that divides 83500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 167, 250, 334, 500, 668, 835, 1670, 3340, 4175, 8350, 16700, 20875, 41750

Step-4: Factors of 83512

List of positive integer factors of 83512 that divides 83500 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 73, 88, 104, 143, 146, 286, 292, 572, 584, 803, 949, 1144, 1606, 1898, 3212, 3796, 6424, 7592, 10439, 20878, 41756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83500 and 83512. The biggest common factor number is the GCF number.
So the greatest common factor 83500 and 83512 is 4.

Also check out the Least Common Multiple of 83500 and 83512