What is the Greatest Common Factor of 72695 and 72701?

Greatest common factor (GCF) of 72695 and 72701 is 1.

GCF(72695,72701) = 1

We will now calculate the prime factors of 72695 and 72701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72695 and 72701.

How to find the GCF of 72695 and 72701?

We will first find the prime factorization of 72695 and 72701. After we will calculate the factors of 72695 and 72701 and find the biggest common factor number .

Step-1: Prime Factorization of 72695

Prime factors of 72695 are 5, 7, 31, 67. Prime factorization of 72695 in exponential form is:

72695 = 5¹ × 7¹ × 31¹ × 67¹

Step-2: Prime Factorization of 72701

Prime factors of 72701 are 72701. Prime factorization of 72701 in exponential form is:

72701 = 72701¹

Step-3: Factors of 72695

List of positive integer factors of 72695 that divides 72695 without a remainder.

1, 5, 7, 31, 35, 67, 155, 217, 335, 469, 1085, 2077, 2345, 10385, 14539

Step-4: Factors of 72701

List of positive integer factors of 72701 that divides 72695 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72695 and 72701. The biggest common factor number is the GCF number.
So the greatest common factor 72695 and 72701 is 1.

Also check out the Least Common Multiple of 72695 and 72701