What is the Greatest Common Factor of 59964 and 59973?

Greatest common factor (GCF) of 59964 and 59973 is 3.

GCF(59964,59973) = 3

We will now calculate the prime factors of 59964 and 59973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59964 and 59973.

How to find the GCF of 59964 and 59973?

We will first find the prime factorization of 59964 and 59973. After we will calculate the factors of 59964 and 59973 and find the biggest common factor number .

Step-1: Prime Factorization of 59964

Prime factors of 59964 are 2, 3, 19, 263. Prime factorization of 59964 in exponential form is:

59964 = 2² × 3¹ × 19¹ × 263¹

Step-2: Prime Factorization of 59973

Prime factors of 59973 are 3, 19991. Prime factorization of 59973 in exponential form is:

59973 = 3¹ × 19991¹

Step-3: Factors of 59964

List of positive integer factors of 59964 that divides 59964 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 263, 526, 789, 1052, 1578, 3156, 4997, 9994, 14991, 19988, 29982

Step-4: Factors of 59973

List of positive integer factors of 59973 that divides 59964 without a remainder.

1, 3, 19991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59964 and 59973. The biggest common factor number is the GCF number.
So the greatest common factor 59964 and 59973 is 3.

Also check out the Least Common Multiple of 59964 and 59973