What is the Greatest Common Factor of 88440 and 88445?

Greatest common factor (GCF) of 88440 and 88445 is 5.

GCF(88440,88445) = 5

We will now calculate the prime factors of 88440 and 88445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88440 and 88445.

How to find the GCF of 88440 and 88445?

We will first find the prime factorization of 88440 and 88445. After we will calculate the factors of 88440 and 88445 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 88445

Prime factors of 88445 are 5, 7, 19. Prime factorization of 88445 in exponential form is:

88445 = 5¹ × 7² × 19²

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 88445

List of positive integer factors of 88445 that divides 88440 without a remainder.

1, 5, 7, 19, 35, 49, 95, 133, 245, 361, 665, 931, 1805, 2527, 4655, 12635, 17689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88440 and 88445. The biggest common factor number is the GCF number.
So the greatest common factor 88440 and 88445 is 5.

Also check out the Least Common Multiple of 88440 and 88445