What is the Greatest Common Factor of 83034 and 83040?

Greatest common factor (GCF) of 83034 and 83040 is 6.

GCF(83034,83040) = 6

We will now calculate the prime factors of 83034 and 83040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83034 and 83040.

How to find the GCF of 83034 and 83040?

We will first find the prime factorization of 83034 and 83040. After we will calculate the factors of 83034 and 83040 and find the biggest common factor number .

Step-1: Prime Factorization of 83034

Prime factors of 83034 are 2, 3, 7, 659. Prime factorization of 83034 in exponential form is:

83034 = 2¹ × 3² × 7¹ × 659¹

Step-2: Prime Factorization of 83040

Prime factors of 83040 are 2, 3, 5, 173. Prime factorization of 83040 in exponential form is:

83040 = 2⁵ × 3¹ × 5¹ × 173¹

Step-3: Factors of 83034

List of positive integer factors of 83034 that divides 83034 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 659, 1318, 1977, 3954, 4613, 5931, 9226, 11862, 13839, 27678, 41517

Step-4: Factors of 83040

List of positive integer factors of 83040 that divides 83034 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 173, 240, 346, 480, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 2768, 3460, 4152, 5190, 5536, 6920, 8304, 10380, 13840, 16608, 20760, 27680, 41520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83034 and 83040. The biggest common factor number is the GCF number.
So the greatest common factor 83034 and 83040 is 6.

Also check out the Least Common Multiple of 83034 and 83040