What is the Greatest Common Factor of 83040 and 83060?

Greatest common factor (GCF) of 83040 and 83060 is 20.

GCF(83040,83060) = 20

We will now calculate the prime factors of 83040 and 83060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83040 and 83060.

How to find the GCF of 83040 and 83060?

We will first find the prime factorization of 83040 and 83060. After we will calculate the factors of 83040 and 83060 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 83060

Prime factors of 83060 are 2, 5, 4153. Prime factorization of 83060 in exponential form is:

83060 = 2² × 5¹ × 4153¹

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 83060

List of positive integer factors of 83060 that divides 83040 without a remainder.

1, 2, 4, 5, 10, 20, 4153, 8306, 16612, 20765, 41530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83040 and 83060. The biggest common factor number is the GCF number.
So the greatest common factor 83040 and 83060 is 20.

Also check out the Least Common Multiple of 83040 and 83060