What is the Greatest Common Factor of 89028 and 89040?

Greatest common factor (GCF) of 89028 and 89040 is 12.

GCF(89028,89040) = 12

We will now calculate the prime factors of 89028 and 89040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89028 and 89040.

How to find the GCF of 89028 and 89040?

We will first find the prime factorization of 89028 and 89040. After we will calculate the factors of 89028 and 89040 and find the biggest common factor number .

Step-1: Prime Factorization of 89028

Prime factors of 89028 are 2, 3, 2473. Prime factorization of 89028 in exponential form is:

89028 = 2² × 3² × 2473¹

Step-2: 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-3: Factors of 89028

List of positive integer factors of 89028 that divides 89028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2473, 4946, 7419, 9892, 14838, 22257, 29676, 44514

Step-4: Factors of 89040

List of positive integer factors of 89040 that divides 89028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89028 and 89040. The biggest common factor number is the GCF number.
So the greatest common factor 89028 and 89040 is 12.

Also check out the Least Common Multiple of 89028 and 89040