What is the Greatest Common Factor of 34440 and 34454?

Greatest common factor (GCF) of 34440 and 34454 is 14.

GCF(34440,34454) = 14

We will now calculate the prime factors of 34440 and 34454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34440 and 34454.

How to find the GCF of 34440 and 34454?

We will first find the prime factorization of 34440 and 34454. After we will calculate the factors of 34440 and 34454 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 34454

Prime factors of 34454 are 2, 7, 23, 107. Prime factorization of 34454 in exponential form is:

34454 = 2¹ × 7¹ × 23¹ × 107¹

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 34454

List of positive integer factors of 34454 that divides 34440 without a remainder.

1, 2, 7, 14, 23, 46, 107, 161, 214, 322, 749, 1498, 2461, 4922, 17227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34440 and 34454. The biggest common factor number is the GCF number.
So the greatest common factor 34440 and 34454 is 14.

Also check out the Least Common Multiple of 34440 and 34454