What is the Greatest Common Factor of 88440 and 88446?

Greatest common factor (GCF) of 88440 and 88446 is 6.

GCF(88440,88446) = 6

We will now calculate the prime factors of 88440 and 88446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88440 and 88446.

How to find the GCF of 88440 and 88446?

We will first find the prime factorization of 88440 and 88446. After we will calculate the factors of 88440 and 88446 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 88446

Prime factors of 88446 are 2, 3, 14741. Prime factorization of 88446 in exponential form is:

88446 = 2¹ × 3¹ × 14741¹

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 88446

List of positive integer factors of 88446 that divides 88440 without a remainder.

1, 2, 3, 6, 14741, 29482, 44223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88440 and 88446. The biggest common factor number is the GCF number.
So the greatest common factor 88440 and 88446 is 6.

Also check out the Least Common Multiple of 88440 and 88446