What is the Greatest Common Factor of 83472 and 83490?

Greatest common factor (GCF) of 83472 and 83490 is 6.

GCF(83472,83490) = 6

We will now calculate the prime factors of 83472 and 83490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83472 and 83490.

How to find the GCF of 83472 and 83490?

We will first find the prime factorization of 83472 and 83490. After we will calculate the factors of 83472 and 83490 and find the biggest common factor number .

Step-1: Prime Factorization of 83472

Prime factors of 83472 are 2, 3, 37, 47. Prime factorization of 83472 in exponential form is:

83472 = 2⁴ × 3¹ × 37¹ × 47¹

Step-2: Prime Factorization of 83490

Prime factors of 83490 are 2, 3, 5, 11, 23. Prime factorization of 83490 in exponential form is:

83490 = 2¹ × 3¹ × 5¹ × 11² × 23¹

Step-3: Factors of 83472

List of positive integer factors of 83472 that divides 83472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 47, 48, 74, 94, 111, 141, 148, 188, 222, 282, 296, 376, 444, 564, 592, 752, 888, 1128, 1739, 1776, 2256, 3478, 5217, 6956, 10434, 13912, 20868, 27824, 41736

Step-4: Factors of 83490

List of positive integer factors of 83490 that divides 83472 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 121, 138, 165, 230, 242, 253, 330, 345, 363, 506, 605, 690, 726, 759, 1210, 1265, 1518, 1815, 2530, 2783, 3630, 3795, 5566, 7590, 8349, 13915, 16698, 27830, 41745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83472 and 83490. The biggest common factor number is the GCF number.
So the greatest common factor 83472 and 83490 is 6.

Also check out the Least Common Multiple of 83472 and 83490