What is the Greatest Common Factor of 72113 and 72119?

Greatest common factor (GCF) of 72113 and 72119 is 1.

GCF(72113,72119) = 1

We will now calculate the prime factors of 72113 and 72119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72113 and 72119.

How to find the GCF of 72113 and 72119?

We will first find the prime factorization of 72113 and 72119. After we will calculate the factors of 72113 and 72119 and find the biggest common factor number .

Step-1: Prime Factorization of 72113

Prime factors of 72113 are 37, 1949. Prime factorization of 72113 in exponential form is:

72113 = 37¹ × 1949¹

Step-2: Prime Factorization of 72119

Prime factors of 72119 are 41, 1759. Prime factorization of 72119 in exponential form is:

72119 = 41¹ × 1759¹

Step-3: Factors of 72113

List of positive integer factors of 72113 that divides 72113 without a remainder.

1, 37, 1949

Step-4: Factors of 72119

List of positive integer factors of 72119 that divides 72113 without a remainder.

1, 41, 1759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72113 and 72119. The biggest common factor number is the GCF number.
So the greatest common factor 72113 and 72119 is 1.

Also check out the Least Common Multiple of 72113 and 72119