What is the Greatest Common Factor of 61440 and 61449?

Greatest common factor (GCF) of 61440 and 61449 is 3.

GCF(61440,61449) = 3

We will now calculate the prime factors of 61440 and 61449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61440 and 61449.

How to find the GCF of 61440 and 61449?

We will first find the prime factorization of 61440 and 61449. After we will calculate the factors of 61440 and 61449 and find the biggest common factor number .

Step-1: Prime Factorization of 61440

Prime factors of 61440 are 2, 3, 5. Prime factorization of 61440 in exponential form is:

61440 = 2¹² × 3¹ × 5¹

Step-2: Prime Factorization of 61449

Prime factors of 61449 are 3, 20483. Prime factorization of 61449 in exponential form is:

61449 = 3¹ × 20483¹

Step-3: Factors of 61440

List of positive integer factors of 61440 that divides 61440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1024, 1280, 1536, 1920, 2048, 2560, 3072, 3840, 4096, 5120, 6144, 7680, 10240, 12288, 15360, 20480, 30720

Step-4: Factors of 61449

List of positive integer factors of 61449 that divides 61440 without a remainder.

1, 3, 20483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61440 and 61449. The biggest common factor number is the GCF number.
So the greatest common factor 61440 and 61449 is 3.

Also check out the Least Common Multiple of 61440 and 61449