What is the Greatest Common Factor of 59949 and 59955?

Greatest common factor (GCF) of 59949 and 59955 is 3.

GCF(59949,59955) = 3

We will now calculate the prime factors of 59949 and 59955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59949 and 59955.

How to find the GCF of 59949 and 59955?

We will first find the prime factorization of 59949 and 59955. After we will calculate the factors of 59949 and 59955 and find the biggest common factor number .

Step-1: Prime Factorization of 59949

Prime factors of 59949 are 3, 6661. Prime factorization of 59949 in exponential form is:

59949 = 3² × 6661¹

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 59949

List of positive integer factors of 59949 that divides 59949 without a remainder.

1, 3, 9, 6661, 19983

Step-4: Factors of 59955

List of positive integer factors of 59955 that divides 59949 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 59949 and 59955. The biggest common factor number is the GCF number.
So the greatest common factor 59949 and 59955 is 3.

Also check out the Least Common Multiple of 59949 and 59955