What is the Greatest Common Factor of 65860 and 65875?

Greatest common factor (GCF) of 65860 and 65875 is 5.

GCF(65860,65875) = 5

We will now calculate the prime factors of 65860 and 65875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65860 and 65875.

How to find the GCF of 65860 and 65875?

We will first find the prime factorization of 65860 and 65875. After we will calculate the factors of 65860 and 65875 and find the biggest common factor number .

Step-1: Prime Factorization of 65860

Prime factors of 65860 are 2, 5, 37, 89. Prime factorization of 65860 in exponential form is:

65860 = 2² × 5¹ × 37¹ × 89¹

Step-2: Prime Factorization of 65875

Prime factors of 65875 are 5, 17, 31. Prime factorization of 65875 in exponential form is:

65875 = 5³ × 17¹ × 31¹

Step-3: Factors of 65860

List of positive integer factors of 65860 that divides 65860 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 89, 148, 178, 185, 356, 370, 445, 740, 890, 1780, 3293, 6586, 13172, 16465, 32930

Step-4: Factors of 65875

List of positive integer factors of 65875 that divides 65860 without a remainder.

1, 5, 17, 25, 31, 85, 125, 155, 425, 527, 775, 2125, 2635, 3875, 13175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65860 and 65875. The biggest common factor number is the GCF number.
So the greatest common factor 65860 and 65875 is 5.

Also check out the Least Common Multiple of 65860 and 65875