What is the Greatest Common Factor of 59943 and 59955?

Greatest common factor (GCF) of 59943 and 59955 is 3.

GCF(59943,59955) = 3

We will now calculate the prime factors of 59943 and 59955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59943 and 59955.

How to find the GCF of 59943 and 59955?

We will first find the prime factorization of 59943 and 59955. After we will calculate the factors of 59943 and 59955 and find the biggest common factor number .

Step-1: Prime Factorization of 59943

Prime factors of 59943 are 3, 13, 29, 53. Prime factorization of 59943 in exponential form is:

59943 = 3¹ × 13¹ × 29¹ × 53¹

Step-2: Prime Factorization of 59955

Prime factors of 59955 are 3, 5, 7, 571. Prime factorization of 59955 in exponential form is:

59955 = 3¹ × 5¹ × 7¹ × 571¹

Step-3: Factors of 59943

List of positive integer factors of 59943 that divides 59943 without a remainder.

1, 3, 13, 29, 39, 53, 87, 159, 377, 689, 1131, 1537, 2067, 4611, 19981

Step-4: Factors of 59955

List of positive integer factors of 59955 that divides 59943 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 571, 1713, 2855, 3997, 8565, 11991, 19985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59943 and 59955. The biggest common factor number is the GCF number.
So the greatest common factor 59943 and 59955 is 3.

Also check out the Least Common Multiple of 59943 and 59955