What is the Greatest Common Factor of 72757 and 72775?

Greatest common factor (GCF) of 72757 and 72775 is 1.

GCF(72757,72775) = 1

We will now calculate the prime factors of 72757 and 72775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72757 and 72775.

How to find the GCF of 72757 and 72775?

We will first find the prime factorization of 72757 and 72775. After we will calculate the factors of 72757 and 72775 and find the biggest common factor number .

Step-1: Prime Factorization of 72757

Prime factors of 72757 are 31, 2347. Prime factorization of 72757 in exponential form is:

72757 = 31¹ × 2347¹

Step-2: Prime Factorization of 72775

Prime factors of 72775 are 5, 41, 71. Prime factorization of 72775 in exponential form is:

72775 = 5² × 41¹ × 71¹

Step-3: Factors of 72757

List of positive integer factors of 72757 that divides 72757 without a remainder.

1, 31, 2347

Step-4: Factors of 72775

List of positive integer factors of 72775 that divides 72757 without a remainder.

1, 5, 25, 41, 71, 205, 355, 1025, 1775, 2911, 14555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72757 and 72775. The biggest common factor number is the GCF number.
So the greatest common factor 72757 and 72775 is 1.

Also check out the Least Common Multiple of 72757 and 72775