What is the Greatest Common Factor of 65100 and 65118?

Greatest common factor (GCF) of 65100 and 65118 is 6.

GCF(65100,65118) = 6

We will now calculate the prime factors of 65100 and 65118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65100 and 65118.

How to find the GCF of 65100 and 65118?

We will first find the prime factorization of 65100 and 65118. After we will calculate the factors of 65100 and 65118 and find the biggest common factor number .

Step-1: Prime Factorization of 65100

Prime factors of 65100 are 2, 3, 5, 7, 31. Prime factorization of 65100 in exponential form is:

65100 = 2² × 3¹ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 65118

Prime factors of 65118 are 2, 3, 10853. Prime factorization of 65118 in exponential form is:

65118 = 2¹ × 3¹ × 10853¹

Step-3: Factors of 65100

List of positive integer factors of 65100 that divides 65100 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 31, 35, 42, 50, 60, 62, 70, 75, 84, 93, 100, 105, 124, 140, 150, 155, 175, 186, 210, 217, 300, 310, 350, 372, 420, 434, 465, 525, 620, 651, 700, 775, 868, 930, 1050, 1085, 1302, 1550, 1860, 2100, 2170, 2325, 2604, 3100, 3255, 4340, 4650, 5425, 6510, 9300, 10850, 13020, 16275, 21700, 32550

Step-4: Factors of 65118

List of positive integer factors of 65118 that divides 65100 without a remainder.

1, 2, 3, 6, 10853, 21706, 32559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65100 and 65118. The biggest common factor number is the GCF number.
So the greatest common factor 65100 and 65118 is 6.

Also check out the Least Common Multiple of 65100 and 65118