What is the Greatest Common Factor of 59946 and 59961?

Greatest common factor (GCF) of 59946 and 59961 is 3.

GCF(59946,59961) = 3

We will now calculate the prime factors of 59946 and 59961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59946 and 59961.

How to find the GCF of 59946 and 59961?

We will first find the prime factorization of 59946 and 59961. After we will calculate the factors of 59946 and 59961 and find the biggest common factor number .

Step-1: Prime Factorization of 59946

Prime factors of 59946 are 2, 3, 97, 103. Prime factorization of 59946 in exponential form is:

59946 = 2¹ × 3¹ × 97¹ × 103¹

Step-2: Prime Factorization of 59961

Prime factors of 59961 are 3, 11, 23, 79. Prime factorization of 59961 in exponential form is:

59961 = 3¹ × 11¹ × 23¹ × 79¹

Step-3: Factors of 59946

List of positive integer factors of 59946 that divides 59946 without a remainder.

1, 2, 3, 6, 97, 103, 194, 206, 291, 309, 582, 618, 9991, 19982, 29973

Step-4: Factors of 59961

List of positive integer factors of 59961 that divides 59946 without a remainder.

1, 3, 11, 23, 33, 69, 79, 237, 253, 759, 869, 1817, 2607, 5451, 19987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59946 and 59961. The biggest common factor number is the GCF number.
So the greatest common factor 59946 and 59961 is 3.

Also check out the Least Common Multiple of 59946 and 59961