What is the Greatest Common Factor of 88440 and 88457?

Greatest common factor (GCF) of 88440 and 88457 is 1.

GCF(88440,88457) = 1

We will now calculate the prime factors of 88440 and 88457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88440 and 88457.

How to find the GCF of 88440 and 88457?

We will first find the prime factorization of 88440 and 88457. After we will calculate the factors of 88440 and 88457 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 88457

Prime factors of 88457 are 53, 1669. Prime factorization of 88457 in exponential form is:

88457 = 53¹ × 1669¹

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 88457

List of positive integer factors of 88457 that divides 88440 without a remainder.

1, 53, 1669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88440 and 88457. The biggest common factor number is the GCF number.
So the greatest common factor 88440 and 88457 is 1.

Also check out the Least Common Multiple of 88440 and 88457