What is the Greatest Common Factor of 73675 and 73690?

Greatest common factor (GCF) of 73675 and 73690 is 5.

GCF(73675,73690) = 5

We will now calculate the prime factors of 73675 and 73690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73675 and 73690.

How to find the GCF of 73675 and 73690?

We will first find the prime factorization of 73675 and 73690. After we will calculate the factors of 73675 and 73690 and find the biggest common factor number .

Step-1: Prime Factorization of 73675

Prime factors of 73675 are 5, 7, 421. Prime factorization of 73675 in exponential form is:

73675 = 5² × 7¹ × 421¹

Step-2: 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-3: Factors of 73675

List of positive integer factors of 73675 that divides 73675 without a remainder.

1, 5, 7, 25, 35, 175, 421, 2105, 2947, 10525, 14735

Step-4: Factors of 73690

List of positive integer factors of 73690 that divides 73675 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73675 and 73690. The biggest common factor number is the GCF number.
So the greatest common factor 73675 and 73690 is 5.

Also check out the Least Common Multiple of 73675 and 73690