What is the Greatest Common Factor of 72905 and 72921?

Greatest common factor (GCF) of 72905 and 72921 is 1.

GCF(72905,72921) = 1

We will now calculate the prime factors of 72905 and 72921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72905 and 72921.

How to find the GCF of 72905 and 72921?

We will first find the prime factorization of 72905 and 72921. After we will calculate the factors of 72905 and 72921 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72921

Prime factors of 72921 are 3, 109, 223. Prime factorization of 72921 in exponential form is:

72921 = 3¹ × 109¹ × 223¹

Step-3: Factors of 72905

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

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

Step-4: Factors of 72921

List of positive integer factors of 72921 that divides 72905 without a remainder.

1, 3, 109, 223, 327, 669, 24307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72905 and 72921. The biggest common factor number is the GCF number.
So the greatest common factor 72905 and 72921 is 1.

Also check out the Least Common Multiple of 72905 and 72921