What is the Greatest Common Factor of 89027 and 89040?

Greatest common factor (GCF) of 89027 and 89040 is 1.

GCF(89027,89040) = 1

We will now calculate the prime factors of 89027 and 89040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89027 and 89040.

How to find the GCF of 89027 and 89040?

We will first find the prime factorization of 89027 and 89040. After we will calculate the factors of 89027 and 89040 and find the biggest common factor number .

Step-1: Prime Factorization of 89027

Prime factors of 89027 are 127, 701. Prime factorization of 89027 in exponential form is:

89027 = 127¹ × 701¹

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 89027

List of positive integer factors of 89027 that divides 89027 without a remainder.

1, 127, 701

Step-4: Factors of 89040

List of positive integer factors of 89040 that divides 89027 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 89027 and 89040. The biggest common factor number is the GCF number.
So the greatest common factor 89027 and 89040 is 1.

Also check out the Least Common Multiple of 89027 and 89040