What is the Greatest Common Factor of 51343 and 51360?

Greatest common factor (GCF) of 51343 and 51360 is 1.

GCF(51343,51360) = 1

We will now calculate the prime factors of 51343 and 51360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51343 and 51360.

How to find the GCF of 51343 and 51360?

We will first find the prime factorization of 51343 and 51360. After we will calculate the factors of 51343 and 51360 and find the biggest common factor number .

Step-1: Prime Factorization of 51343

Prime factors of 51343 are 51343. Prime factorization of 51343 in exponential form is:

51343 = 51343¹

Step-2: Prime Factorization of 51360

Prime factors of 51360 are 2, 3, 5, 107. Prime factorization of 51360 in exponential form is:

51360 = 2⁵ × 3¹ × 5¹ × 107¹

Step-3: Factors of 51343

List of positive integer factors of 51343 that divides 51343 without a remainder.

Step-4: Factors of 51360

List of positive integer factors of 51360 that divides 51343 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 107, 120, 160, 214, 240, 321, 428, 480, 535, 642, 856, 1070, 1284, 1605, 1712, 2140, 2568, 3210, 3424, 4280, 5136, 6420, 8560, 10272, 12840, 17120, 25680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51343 and 51360. The biggest common factor number is the GCF number.
So the greatest common factor 51343 and 51360 is 1.

Also check out the Least Common Multiple of 51343 and 51360