What is the Greatest Common Factor of 73690 and 73700?

Greatest common factor (GCF) of 73690 and 73700 is 10.

GCF(73690,73700) = 10

We will now calculate the prime factors of 73690 and 73700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73690 and 73700.

How to find the GCF of 73690 and 73700?

We will first find the prime factorization of 73690 and 73700. After we will calculate the factors of 73690 and 73700 and find the biggest common factor number .

Step-1: Prime Factorization of 73690

Prime factors of 73690 are 2, 5, 7369. Prime factorization of 73690 in exponential form is:

73690 = 2¹ × 5¹ × 7369¹

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 73690

List of positive integer factors of 73690 that divides 73690 without a remainder.

1, 2, 5, 10, 7369, 14738, 36845

Step-4: Factors of 73700

List of positive integer factors of 73700 that divides 73690 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 73690 and 73700. The biggest common factor number is the GCF number.
So the greatest common factor 73690 and 73700 is 10.

Also check out the Least Common Multiple of 73690 and 73700