What is the Greatest Common Factor of 34489 and 34496?

Greatest common factor (GCF) of 34489 and 34496 is 7.

GCF(34489,34496) = 7

We will now calculate the prime factors of 34489 and 34496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34489 and 34496.

How to find the GCF of 34489 and 34496?

We will first find the prime factorization of 34489 and 34496. After we will calculate the factors of 34489 and 34496 and find the biggest common factor number .

Step-1: Prime Factorization of 34489

Prime factors of 34489 are 7, 13, 379. Prime factorization of 34489 in exponential form is:

34489 = 7¹ × 13¹ × 379¹

Step-2: Prime Factorization of 34496

Prime factors of 34496 are 2, 7, 11. Prime factorization of 34496 in exponential form is:

34496 = 2⁶ × 7² × 11¹

Step-3: Factors of 34489

List of positive integer factors of 34489 that divides 34489 without a remainder.

1, 7, 13, 91, 379, 2653, 4927

Step-4: Factors of 34496

List of positive integer factors of 34496 that divides 34489 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 64, 77, 88, 98, 112, 154, 176, 196, 224, 308, 352, 392, 448, 539, 616, 704, 784, 1078, 1232, 1568, 2156, 2464, 3136, 4312, 4928, 8624, 17248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34489 and 34496. The biggest common factor number is the GCF number.
So the greatest common factor 34489 and 34496 is 7.

Also check out the Least Common Multiple of 34489 and 34496