What is the Greatest Common Factor of 65740 and 65760?

Greatest common factor (GCF) of 65740 and 65760 is 20.

GCF(65740,65760) = 20

We will now calculate the prime factors of 65740 and 65760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65740 and 65760.

How to find the GCF of 65740 and 65760?

We will first find the prime factorization of 65740 and 65760. After we will calculate the factors of 65740 and 65760 and find the biggest common factor number .

Step-1: Prime Factorization of 65740

Prime factors of 65740 are 2, 5, 19, 173. Prime factorization of 65740 in exponential form is:

65740 = 2² × 5¹ × 19¹ × 173¹

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 65740

List of positive integer factors of 65740 that divides 65740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 173, 190, 346, 380, 692, 865, 1730, 3287, 3460, 6574, 13148, 16435, 32870

Step-4: Factors of 65760

List of positive integer factors of 65760 that divides 65740 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 65740 and 65760. The biggest common factor number is the GCF number.
So the greatest common factor 65740 and 65760 is 20.

Also check out the Least Common Multiple of 65740 and 65760