What is the Greatest Common Factor of 88440 and 88458?

Greatest common factor (GCF) of 88440 and 88458 is 6.

GCF(88440,88458) = 6

We will now calculate the prime factors of 88440 and 88458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88440 and 88458.

How to find the GCF of 88440 and 88458?

We will first find the prime factorization of 88440 and 88458. After we will calculate the factors of 88440 and 88458 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 88458

Prime factors of 88458 are 2, 3, 23, 641. Prime factorization of 88458 in exponential form is:

88458 = 2¹ × 3¹ × 23¹ × 641¹

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 88458

List of positive integer factors of 88458 that divides 88440 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 641, 1282, 1923, 3846, 14743, 29486, 44229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88440 and 88458. The biggest common factor number is the GCF number.
So the greatest common factor 88440 and 88458 is 6.

Also check out the Least Common Multiple of 88440 and 88458