What is the Greatest Common Factor of 61440 and 61451?

Greatest common factor (GCF) of 61440 and 61451 is 1.

GCF(61440,61451) = 1

We will now calculate the prime factors of 61440 and 61451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61440 and 61451.

How to find the GCF of 61440 and 61451?

We will first find the prime factorization of 61440 and 61451. After we will calculate the factors of 61440 and 61451 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 61451

Prime factors of 61451 are 13, 29, 163. Prime factorization of 61451 in exponential form is:

61451 = 13¹ × 29¹ × 163¹

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 61451

List of positive integer factors of 61451 that divides 61440 without a remainder.

1, 13, 29, 163, 377, 2119, 4727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61440 and 61451. The biggest common factor number is the GCF number.
So the greatest common factor 61440 and 61451 is 1.

Also check out the Least Common Multiple of 61440 and 61451