What is the Greatest Common Factor of 72839 and 72853?

Greatest common factor (GCF) of 72839 and 72853 is 1.

GCF(72839,72853) = 1

We will now calculate the prime factors of 72839 and 72853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72839 and 72853.

How to find the GCF of 72839 and 72853?

We will first find the prime factorization of 72839 and 72853. After we will calculate the factors of 72839 and 72853 and find the biggest common factor number .

Step-1: Prime Factorization of 72839

Prime factors of 72839 are 13, 431. Prime factorization of 72839 in exponential form is:

72839 = 13² × 431¹

Step-2: Prime Factorization of 72853

Prime factors of 72853 are 11, 37, 179. Prime factorization of 72853 in exponential form is:

72853 = 11¹ × 37¹ × 179¹

Step-3: Factors of 72839

List of positive integer factors of 72839 that divides 72839 without a remainder.

1, 13, 169, 431, 5603

Step-4: Factors of 72853

List of positive integer factors of 72853 that divides 72839 without a remainder.

1, 11, 37, 179, 407, 1969, 6623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72839 and 72853. The biggest common factor number is the GCF number.
So the greatest common factor 72839 and 72853 is 1.

Also check out the Least Common Multiple of 72839 and 72853