What is the Greatest Common Factor of 73675 and 73695?

Greatest common factor (GCF) of 73675 and 73695 is 5.

GCF(73675,73695) = 5

We will now calculate the prime factors of 73675 and 73695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73675 and 73695.

How to find the GCF of 73675 and 73695?

We will first find the prime factorization of 73675 and 73695. After we will calculate the factors of 73675 and 73695 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 73695

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

73695 = 3¹ × 5¹ × 17³

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 73695

List of positive integer factors of 73695 that divides 73675 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73675 and 73695. The biggest common factor number is the GCF number.
So the greatest common factor 73675 and 73695 is 5.

Also check out the Least Common Multiple of 73675 and 73695