What is the Greatest Common Factor of 51200 and 51207?

Greatest common factor (GCF) of 51200 and 51207 is 1.

GCF(51200,51207) = 1

We will now calculate the prime factors of 51200 and 51207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51200 and 51207.

How to find the GCF of 51200 and 51207?

We will first find the prime factorization of 51200 and 51207. After we will calculate the factors of 51200 and 51207 and find the biggest common factor number .

Step-1: Prime Factorization of 51200

Prime factors of 51200 are 2, 5. Prime factorization of 51200 in exponential form is:

51200 = 2¹¹ × 5²

Step-2: Prime Factorization of 51207

Prime factors of 51207 are 3, 13, 101. Prime factorization of 51207 in exponential form is:

51207 = 3¹ × 13² × 101¹

Step-3: Factors of 51200

List of positive integer factors of 51200 that divides 51200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 512, 640, 800, 1024, 1280, 1600, 2048, 2560, 3200, 5120, 6400, 10240, 12800, 25600

Step-4: Factors of 51207

List of positive integer factors of 51207 that divides 51200 without a remainder.

1, 3, 13, 39, 101, 169, 303, 507, 1313, 3939, 17069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51200 and 51207. The biggest common factor number is the GCF number.
So the greatest common factor 51200 and 51207 is 1.

Also check out the Least Common Multiple of 51200 and 51207