What is the Greatest Common Factor of 88431 and 88440?

Greatest common factor (GCF) of 88431 and 88440 is 3.

GCF(88431,88440) = 3

We will now calculate the prime factors of 88431 and 88440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88431 and 88440.

How to find the GCF of 88431 and 88440?

We will first find the prime factorization of 88431 and 88440. After we will calculate the factors of 88431 and 88440 and find the biggest common factor number .

Step-1: Prime Factorization of 88431

Prime factors of 88431 are 3, 7, 4211. Prime factorization of 88431 in exponential form is:

88431 = 3¹ × 7¹ × 4211¹

Step-2: 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-3: Factors of 88431

List of positive integer factors of 88431 that divides 88431 without a remainder.

1, 3, 7, 21, 4211, 12633, 29477

Step-4: Factors of 88440

List of positive integer factors of 88440 that divides 88431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88431 and 88440. The biggest common factor number is the GCF number.
So the greatest common factor 88431 and 88440 is 3.

Also check out the Least Common Multiple of 88431 and 88440