What is the Greatest Common Factor of 72891 and 72905?

Greatest common factor (GCF) of 72891 and 72905 is 7.

GCF(72891,72905) = 7

We will now calculate the prime factors of 72891 and 72905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72891 and 72905.

How to find the GCF of 72891 and 72905?

We will first find the prime factorization of 72891 and 72905. After we will calculate the factors of 72891 and 72905 and find the biggest common factor number .

Step-1: Prime Factorization of 72891

Prime factors of 72891 are 3, 7, 13, 89. Prime factorization of 72891 in exponential form is:

72891 = 3² × 7¹ × 13¹ × 89¹

Step-2: Prime Factorization of 72905

Prime factors of 72905 are 5, 7, 2083. Prime factorization of 72905 in exponential form is:

72905 = 5¹ × 7¹ × 2083¹

Step-3: Factors of 72891

List of positive integer factors of 72891 that divides 72891 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 89, 91, 117, 267, 273, 623, 801, 819, 1157, 1869, 3471, 5607, 8099, 10413, 24297

Step-4: Factors of 72905

List of positive integer factors of 72905 that divides 72891 without a remainder.

1, 5, 7, 35, 2083, 10415, 14581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72891 and 72905. The biggest common factor number is the GCF number.
So the greatest common factor 72891 and 72905 is 7.

Also check out the Least Common Multiple of 72891 and 72905