What is the Greatest Common Factor of 83400 and 83412?

Greatest common factor (GCF) of 83400 and 83412 is 12.

GCF(83400,83412) = 12

We will now calculate the prime factors of 83400 and 83412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83400 and 83412.

How to find the GCF of 83400 and 83412?

We will first find the prime factorization of 83400 and 83412. After we will calculate the factors of 83400 and 83412 and find the biggest common factor number .

Step-1: Prime Factorization of 83400

Prime factors of 83400 are 2, 3, 5, 139. Prime factorization of 83400 in exponential form is:

83400 = 2³ × 3¹ × 5² × 139¹

Step-2: Prime Factorization of 83412

Prime factors of 83412 are 2, 3, 7, 331. Prime factorization of 83412 in exponential form is:

83412 = 2² × 3² × 7¹ × 331¹

Step-3: Factors of 83400

List of positive integer factors of 83400 that divides 83400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 139, 150, 200, 278, 300, 417, 556, 600, 695, 834, 1112, 1390, 1668, 2085, 2780, 3336, 3475, 4170, 5560, 6950, 8340, 10425, 13900, 16680, 20850, 27800, 41700

Step-4: Factors of 83412

List of positive integer factors of 83412 that divides 83400 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 331, 662, 993, 1324, 1986, 2317, 2979, 3972, 4634, 5958, 6951, 9268, 11916, 13902, 20853, 27804, 41706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83400 and 83412. The biggest common factor number is the GCF number.
So the greatest common factor 83400 and 83412 is 12.

Also check out the Least Common Multiple of 83400 and 83412