What is the Greatest Common Factor of 61430 and 61440?

Greatest common factor (GCF) of 61430 and 61440 is 10.

GCF(61430,61440) = 10

We will now calculate the prime factors of 61430 and 61440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61430 and 61440.

How to find the GCF of 61430 and 61440?

We will first find the prime factorization of 61430 and 61440. After we will calculate the factors of 61430 and 61440 and find the biggest common factor number .

Step-1: Prime Factorization of 61430

Prime factors of 61430 are 2, 5, 6143. Prime factorization of 61430 in exponential form is:

61430 = 2¹ × 5¹ × 6143¹

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 61430

List of positive integer factors of 61430 that divides 61430 without a remainder.

1, 2, 5, 10, 6143, 12286, 30715

Step-4: Factors of 61440

List of positive integer factors of 61440 that divides 61430 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 61430 and 61440. The biggest common factor number is the GCF number.
So the greatest common factor 61430 and 61440 is 10.

Also check out the Least Common Multiple of 61430 and 61440