What is the Greatest Common Factor of 65750 and 65760?

Greatest common factor (GCF) of 65750 and 65760 is 10.

GCF(65750,65760) = 10

We will now calculate the prime factors of 65750 and 65760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65750 and 65760.

How to find the GCF of 65750 and 65760?

We will first find the prime factorization of 65750 and 65760. After we will calculate the factors of 65750 and 65760 and find the biggest common factor number .

Step-1: Prime Factorization of 65750

Prime factors of 65750 are 2, 5, 263. Prime factorization of 65750 in exponential form is:

65750 = 2¹ × 5³ × 263¹

Step-2: Prime Factorization of 65760

Prime factors of 65760 are 2, 3, 5, 137. Prime factorization of 65760 in exponential form is:

65760 = 2⁵ × 3¹ × 5¹ × 137¹

Step-3: Factors of 65750

List of positive integer factors of 65750 that divides 65750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 263, 526, 1315, 2630, 6575, 13150, 32875

Step-4: Factors of 65760

List of positive integer factors of 65760 that divides 65750 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 137, 160, 240, 274, 411, 480, 548, 685, 822, 1096, 1370, 1644, 2055, 2192, 2740, 3288, 4110, 4384, 5480, 6576, 8220, 10960, 13152, 16440, 21920, 32880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65750 and 65760. The biggest common factor number is the GCF number.
So the greatest common factor 65750 and 65760 is 10.

Also check out the Least Common Multiple of 65750 and 65760