What is the Greatest Common Factor of 73959 and 73972?

Greatest common factor (GCF) of 73959 and 73972 is 1.

GCF(73959,73972) = 1

We will now calculate the prime factors of 73959 and 73972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73959 and 73972.

How to find the GCF of 73959 and 73972?

We will first find the prime factorization of 73959 and 73972. After we will calculate the factors of 73959 and 73972 and find the biggest common factor number .

Step-1: Prime Factorization of 73959

Prime factors of 73959 are 3, 89, 277. Prime factorization of 73959 in exponential form is:

73959 = 3¹ × 89¹ × 277¹

Step-2: Prime Factorization of 73972

Prime factors of 73972 are 2, 18493. Prime factorization of 73972 in exponential form is:

73972 = 2² × 18493¹

Step-3: Factors of 73959

List of positive integer factors of 73959 that divides 73959 without a remainder.

1, 3, 89, 267, 277, 831, 24653

Step-4: Factors of 73972

List of positive integer factors of 73972 that divides 73959 without a remainder.

1, 2, 4, 18493, 36986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73959 and 73972. The biggest common factor number is the GCF number.
So the greatest common factor 73959 and 73972 is 1.

Also check out the Least Common Multiple of 73959 and 73972