What is the Greatest Common Factor of 73695 and 73700?

Greatest common factor (GCF) of 73695 and 73700 is 5.

GCF(73695,73700) = 5

We will now calculate the prime factors of 73695 and 73700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73695 and 73700.

How to find the GCF of 73695 and 73700?

We will first find the prime factorization of 73695 and 73700. After we will calculate the factors of 73695 and 73700 and find the biggest common factor number .

Step-1: Prime Factorization of 73695

Prime factors of 73695 are 3, 5, 17. Prime factorization of 73695 in exponential form is:

73695 = 3¹ × 5¹ × 17³

Step-2: Prime Factorization of 73700

Prime factors of 73700 are 2, 5, 11, 67. Prime factorization of 73700 in exponential form is:

73700 = 2² × 5² × 11¹ × 67¹

Step-3: Factors of 73695

List of positive integer factors of 73695 that divides 73695 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 289, 867, 1445, 4335, 4913, 14739, 24565

Step-4: Factors of 73700

List of positive integer factors of 73700 that divides 73695 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 67, 100, 110, 134, 220, 268, 275, 335, 550, 670, 737, 1100, 1340, 1474, 1675, 2948, 3350, 3685, 6700, 7370, 14740, 18425, 36850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73695 and 73700. The biggest common factor number is the GCF number.
So the greatest common factor 73695 and 73700 is 5.

Also check out the Least Common Multiple of 73695 and 73700