What is the Greatest Common Factor of 89040 and 89058?

Greatest common factor (GCF) of 89040 and 89058 is 6.

GCF(89040,89058) = 6

We will now calculate the prime factors of 89040 and 89058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89040 and 89058.

How to find the GCF of 89040 and 89058?

We will first find the prime factorization of 89040 and 89058. After we will calculate the factors of 89040 and 89058 and find the biggest common factor number .

Step-1: Prime Factorization of 89040

Prime factors of 89040 are 2, 3, 5, 7, 53. Prime factorization of 89040 in exponential form is:

89040 = 2⁴ × 3¹ × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 89058

Prime factors of 89058 are 2, 3, 14843. Prime factorization of 89058 in exponential form is:

89058 = 2¹ × 3¹ × 14843¹

Step-3: Factors of 89040

List of positive integer factors of 89040 that divides 89040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 53, 56, 60, 70, 80, 84, 105, 106, 112, 120, 140, 159, 168, 210, 212, 240, 265, 280, 318, 336, 371, 420, 424, 530, 560, 636, 742, 795, 840, 848, 1060, 1113, 1272, 1484, 1590, 1680, 1855, 2120, 2226, 2544, 2968, 3180, 3710, 4240, 4452, 5565, 5936, 6360, 7420, 8904, 11130, 12720, 14840, 17808, 22260, 29680, 44520

Step-4: Factors of 89058

List of positive integer factors of 89058 that divides 89040 without a remainder.

1, 2, 3, 6, 14843, 29686, 44529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89040 and 89058. The biggest common factor number is the GCF number.
So the greatest common factor 89040 and 89058 is 6.

Also check out the Least Common Multiple of 89040 and 89058