What is the Greatest Common Factor of 59946 and 59954?

Greatest common factor (GCF) of 59946 and 59954 is 2.

GCF(59946,59954) = 2

We will now calculate the prime factors of 59946 and 59954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59946 and 59954.

How to find the GCF of 59946 and 59954?

We will first find the prime factorization of 59946 and 59954. After we will calculate the factors of 59946 and 59954 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 59954

Prime factors of 59954 are 2, 31, 967. Prime factorization of 59954 in exponential form is:

59954 = 2¹ × 31¹ × 967¹

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 59954

List of positive integer factors of 59954 that divides 59946 without a remainder.

1, 2, 31, 62, 967, 1934, 29977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59946 and 59954. The biggest common factor number is the GCF number.
So the greatest common factor 59946 and 59954 is 2.

Also check out the Least Common Multiple of 59946 and 59954