What is the Greatest Common Factor of 88440 and 88449?

Greatest common factor (GCF) of 88440 and 88449 is 3.

GCF(88440,88449) = 3

We will now calculate the prime factors of 88440 and 88449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88440 and 88449.

How to find the GCF of 88440 and 88449?

We will first find the prime factorization of 88440 and 88449. After we will calculate the factors of 88440 and 88449 and find the biggest common factor number .

Step-1: Prime Factorization of 88440

Prime factors of 88440 are 2, 3, 5, 11, 67. Prime factorization of 88440 in exponential form is:

88440 = 2³ × 3¹ × 5¹ × 11¹ × 67¹

Step-2: Prime Factorization of 88449

Prime factors of 88449 are 3, 29483. Prime factorization of 88449 in exponential form is:

88449 = 3¹ × 29483¹

Step-3: Factors of 88440

List of positive integer factors of 88440 that divides 88440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 67, 88, 110, 120, 132, 134, 165, 201, 220, 264, 268, 330, 335, 402, 440, 536, 660, 670, 737, 804, 1005, 1320, 1340, 1474, 1608, 2010, 2211, 2680, 2948, 3685, 4020, 4422, 5896, 7370, 8040, 8844, 11055, 14740, 17688, 22110, 29480, 44220

Step-4: Factors of 88449

List of positive integer factors of 88449 that divides 88440 without a remainder.

1, 3, 29483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88440 and 88449. The biggest common factor number is the GCF number.
So the greatest common factor 88440 and 88449 is 3.

Also check out the Least Common Multiple of 88440 and 88449