What is the Greatest Common Factor of 89024 and 89040?

Greatest common factor (GCF) of 89024 and 89040 is 16.

GCF(89024,89040) = 16

We will now calculate the prime factors of 89024 and 89040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89024 and 89040.

How to find the GCF of 89024 and 89040?

We will first find the prime factorization of 89024 and 89040. After we will calculate the factors of 89024 and 89040 and find the biggest common factor number .

Step-1: Prime Factorization of 89024

Prime factors of 89024 are 2, 13, 107. Prime factorization of 89024 in exponential form is:

89024 = 2⁶ × 13¹ × 107¹

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 89024

List of positive integer factors of 89024 that divides 89024 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 107, 208, 214, 416, 428, 832, 856, 1391, 1712, 2782, 3424, 5564, 6848, 11128, 22256, 44512

Step-4: Factors of 89040

List of positive integer factors of 89040 that divides 89024 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 89024 and 89040. The biggest common factor number is the GCF number.
So the greatest common factor 89024 and 89040 is 16.

Also check out the Least Common Multiple of 89024 and 89040