What is the Greatest Common Factor of 89036 and 89040?

Greatest common factor (GCF) of 89036 and 89040 is 4.

GCF(89036,89040) = 4

We will now calculate the prime factors of 89036 and 89040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89036 and 89040.

How to find the GCF of 89036 and 89040?

We will first find the prime factorization of 89036 and 89040. After we will calculate the factors of 89036 and 89040 and find the biggest common factor number .

Step-1: Prime Factorization of 89036

Prime factors of 89036 are 2, 22259. Prime factorization of 89036 in exponential form is:

89036 = 2² × 22259¹

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 89036

List of positive integer factors of 89036 that divides 89036 without a remainder.

1, 2, 4, 22259, 44518

Step-4: Factors of 89040

List of positive integer factors of 89040 that divides 89036 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 89036 and 89040. The biggest common factor number is the GCF number.
So the greatest common factor 89036 and 89040 is 4.

Also check out the Least Common Multiple of 89036 and 89040