What is the Greatest Common Factor of 65082 and 65100?

Greatest common factor (GCF) of 65082 and 65100 is 6.

GCF(65082,65100) = 6

We will now calculate the prime factors of 65082 and 65100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65082 and 65100.

How to find the GCF of 65082 and 65100?

We will first find the prime factorization of 65082 and 65100. After we will calculate the factors of 65082 and 65100 and find the biggest common factor number .

Step-1: Prime Factorization of 65082

Prime factors of 65082 are 2, 3, 10847. Prime factorization of 65082 in exponential form is:

65082 = 2¹ × 3¹ × 10847¹

Step-2: 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-3: Factors of 65082

List of positive integer factors of 65082 that divides 65082 without a remainder.

1, 2, 3, 6, 10847, 21694, 32541

Step-4: Factors of 65100

List of positive integer factors of 65100 that divides 65082 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65082 and 65100. The biggest common factor number is the GCF number.
So the greatest common factor 65082 and 65100 is 6.

Also check out the Least Common Multiple of 65082 and 65100