What is the Greatest Common Factor of 89040 and 89049?

Greatest common factor (GCF) of 89040 and 89049 is 3.

GCF(89040,89049) = 3

We will now calculate the prime factors of 89040 and 89049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89040 and 89049.

How to find the GCF of 89040 and 89049?

We will first find the prime factorization of 89040 and 89049. After we will calculate the factors of 89040 and 89049 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 89049

Prime factors of 89049 are 3, 29683. Prime factorization of 89049 in exponential form is:

89049 = 3¹ × 29683¹

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 89049

List of positive integer factors of 89049 that divides 89040 without a remainder.

1, 3, 29683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89040 and 89049. The biggest common factor number is the GCF number.
So the greatest common factor 89040 and 89049 is 3.

Also check out the Least Common Multiple of 89040 and 89049