What is the Greatest Common Factor of 34440 and 34457?

Greatest common factor (GCF) of 34440 and 34457 is 1.

GCF(34440,34457) = 1

We will now calculate the prime factors of 34440 and 34457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34440 and 34457.

How to find the GCF of 34440 and 34457?

We will first find the prime factorization of 34440 and 34457. After we will calculate the factors of 34440 and 34457 and find the biggest common factor number .

Step-1: Prime Factorization of 34440

Prime factors of 34440 are 2, 3, 5, 7, 41. Prime factorization of 34440 in exponential form is:

34440 = 2³ × 3¹ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 34457

Prime factors of 34457 are 34457. Prime factorization of 34457 in exponential form is:

34457 = 34457¹

Step-3: Factors of 34440

List of positive integer factors of 34440 that divides 34440 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 41, 42, 56, 60, 70, 82, 84, 105, 120, 123, 140, 164, 168, 205, 210, 246, 280, 287, 328, 410, 420, 492, 574, 615, 820, 840, 861, 984, 1148, 1230, 1435, 1640, 1722, 2296, 2460, 2870, 3444, 4305, 4920, 5740, 6888, 8610, 11480, 17220

Step-4: Factors of 34457

List of positive integer factors of 34457 that divides 34440 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34440 and 34457. The biggest common factor number is the GCF number.
So the greatest common factor 34440 and 34457 is 1.

Also check out the Least Common Multiple of 34440 and 34457