What is the Greatest Common Factor of 51360 and 51380?

Greatest common factor (GCF) of 51360 and 51380 is 20.

GCF(51360,51380) = 20

We will now calculate the prime factors of 51360 and 51380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51360 and 51380.

How to find the GCF of 51360 and 51380?

We will first find the prime factorization of 51360 and 51380. After we will calculate the factors of 51360 and 51380 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 51380

Prime factors of 51380 are 2, 5, 7, 367. Prime factorization of 51380 in exponential form is:

51380 = 2² × 5¹ × 7¹ × 367¹

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 51380

List of positive integer factors of 51380 that divides 51360 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 367, 734, 1468, 1835, 2569, 3670, 5138, 7340, 10276, 12845, 25690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51360 and 51380. The biggest common factor number is the GCF number.
So the greatest common factor 51360 and 51380 is 20.

Also check out the Least Common Multiple of 51360 and 51380