What is the Greatest Common Factor of 61440 and 61455?

Greatest common factor (GCF) of 61440 and 61455 is 15.

GCF(61440,61455) = 15

We will now calculate the prime factors of 61440 and 61455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61440 and 61455.

How to find the GCF of 61440 and 61455?

We will first find the prime factorization of 61440 and 61455. After we will calculate the factors of 61440 and 61455 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 61455

Prime factors of 61455 are 3, 5, 17, 241. Prime factorization of 61455 in exponential form is:

61455 = 3¹ × 5¹ × 17¹ × 241¹

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 61455

List of positive integer factors of 61455 that divides 61440 without a remainder.

1, 3, 5, 15, 17, 51, 85, 241, 255, 723, 1205, 3615, 4097, 12291, 20485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61440 and 61455. The biggest common factor number is the GCF number.
So the greatest common factor 61440 and 61455 is 15.

Also check out the Least Common Multiple of 61440 and 61455