What is the Greatest Common Factor of 72675 and 72692?

Greatest common factor (GCF) of 72675 and 72692 is 17.

GCF(72675,72692) = 17

We will now calculate the prime factors of 72675 and 72692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72675 and 72692.

How to find the GCF of 72675 and 72692?

We will first find the prime factorization of 72675 and 72692. After we will calculate the factors of 72675 and 72692 and find the biggest common factor number .

Step-1: Prime Factorization of 72675

Prime factors of 72675 are 3, 5, 17, 19. Prime factorization of 72675 in exponential form is:

72675 = 3² × 5² × 17¹ × 19¹

Step-2: Prime Factorization of 72692

Prime factors of 72692 are 2, 17, 1069. Prime factorization of 72692 in exponential form is:

72692 = 2² × 17¹ × 1069¹

Step-3: Factors of 72675

List of positive integer factors of 72675 that divides 72675 without a remainder.

1, 3, 5, 9, 15, 17, 19, 25, 45, 51, 57, 75, 85, 95, 153, 171, 225, 255, 285, 323, 425, 475, 765, 855, 969, 1275, 1425, 1615, 2907, 3825, 4275, 4845, 8075, 14535, 24225

Step-4: Factors of 72692

List of positive integer factors of 72692 that divides 72675 without a remainder.

1, 2, 4, 17, 34, 68, 1069, 2138, 4276, 18173, 36346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72675 and 72692. The biggest common factor number is the GCF number.
So the greatest common factor 72675 and 72692 is 17.

Also check out the Least Common Multiple of 72675 and 72692