What is the Greatest Common Factor of 73700 and 73711?

Greatest common factor (GCF) of 73700 and 73711 is 11.

GCF(73700,73711) = 11

We will now calculate the prime factors of 73700 and 73711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73700 and 73711.

How to find the GCF of 73700 and 73711?

We will first find the prime factorization of 73700 and 73711. After we will calculate the factors of 73700 and 73711 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73711

Prime factors of 73711 are 11, 6701. Prime factorization of 73711 in exponential form is:

73711 = 11¹ × 6701¹

Step-3: Factors of 73700

List of positive integer factors of 73700 that divides 73700 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

Step-4: Factors of 73711

List of positive integer factors of 73711 that divides 73700 without a remainder.

1, 11, 6701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73700 and 73711. The biggest common factor number is the GCF number.
So the greatest common factor 73700 and 73711 is 11.

Also check out the Least Common Multiple of 73700 and 73711