What is the Greatest Common Factor of 51360 and 51367?

Greatest common factor (GCF) of 51360 and 51367 is 1.

GCF(51360,51367) = 1

We will now calculate the prime factors of 51360 and 51367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51360 and 51367.

How to find the GCF of 51360 and 51367?

We will first find the prime factorization of 51360 and 51367. After we will calculate the factors of 51360 and 51367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51367

Prime factors of 51367 are 31, 1657. Prime factorization of 51367 in exponential form is:

51367 = 31¹ × 1657¹

Step-3: Factors of 51360

List of positive integer factors of 51360 that divides 51360 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

Step-4: Factors of 51367

List of positive integer factors of 51367 that divides 51360 without a remainder.

1, 31, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51360 and 51367. The biggest common factor number is the GCF number.
So the greatest common factor 51360 and 51367 is 1.

Also check out the Least Common Multiple of 51360 and 51367