What is the Greatest Common Factor of 61422 and 61440?

Greatest common factor (GCF) of 61422 and 61440 is 6.

GCF(61422,61440) = 6

We will now calculate the prime factors of 61422 and 61440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61422 and 61440.

How to find the GCF of 61422 and 61440?

We will first find the prime factorization of 61422 and 61440. After we will calculate the factors of 61422 and 61440 and find the biggest common factor number .

Step-1: Prime Factorization of 61422

Prime factors of 61422 are 2, 3, 29, 353. Prime factorization of 61422 in exponential form is:

61422 = 2¹ × 3¹ × 29¹ × 353¹

Step-2: 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-3: Factors of 61422

List of positive integer factors of 61422 that divides 61422 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 353, 706, 1059, 2118, 10237, 20474, 30711

Step-4: Factors of 61440

List of positive integer factors of 61440 that divides 61422 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61422 and 61440. The biggest common factor number is the GCF number.
So the greatest common factor 61422 and 61440 is 6.

Also check out the Least Common Multiple of 61422 and 61440