What is the Greatest Common Factor of 72749 and 72757?

Greatest common factor (GCF) of 72749 and 72757 is 1.

GCF(72749,72757) = 1

We will now calculate the prime factors of 72749 and 72757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72749 and 72757.

How to find the GCF of 72749 and 72757?

We will first find the prime factorization of 72749 and 72757. After we will calculate the factors of 72749 and 72757 and find the biggest common factor number .

Step-1: Prime Factorization of 72749

Prime factors of 72749 are 23, 3163. Prime factorization of 72749 in exponential form is:

72749 = 23¹ × 3163¹

Step-2: Prime Factorization of 72757

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

72757 = 31¹ × 2347¹

Step-3: Factors of 72749

List of positive integer factors of 72749 that divides 72749 without a remainder.

1, 23, 3163

Step-4: Factors of 72757

List of positive integer factors of 72757 that divides 72749 without a remainder.

1, 31, 2347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72749 and 72757. The biggest common factor number is the GCF number.
So the greatest common factor 72749 and 72757 is 1.

Also check out the Least Common Multiple of 72749 and 72757