What is the Greatest Common Factor of 83040 and 83058?

Greatest common factor (GCF) of 83040 and 83058 is 6.

GCF(83040,83058) = 6

We will now calculate the prime factors of 83040 and 83058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83040 and 83058.

How to find the GCF of 83040 and 83058?

We will first find the prime factorization of 83040 and 83058. After we will calculate the factors of 83040 and 83058 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83058

Prime factors of 83058 are 2, 3, 109, 127. Prime factorization of 83058 in exponential form is:

83058 = 2¹ × 3¹ × 109¹ × 127¹

Step-3: Factors of 83040

List of positive integer factors of 83040 that divides 83040 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

Step-4: Factors of 83058

List of positive integer factors of 83058 that divides 83040 without a remainder.

1, 2, 3, 6, 109, 127, 218, 254, 327, 381, 654, 762, 13843, 27686, 41529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83040 and 83058. The biggest common factor number is the GCF number.
So the greatest common factor 83040 and 83058 is 6.

Also check out the Least Common Multiple of 83040 and 83058