What is the Greatest Common Factor of 58950 and 58964?

Greatest common factor (GCF) of 58950 and 58964 is 2.

GCF(58950,58964) = 2

We will now calculate the prime factors of 58950 and 58964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58950 and 58964.

How to find the GCF of 58950 and 58964?

We will first find the prime factorization of 58950 and 58964. After we will calculate the factors of 58950 and 58964 and find the biggest common factor number .

Step-1: Prime Factorization of 58950

Prime factors of 58950 are 2, 3, 5, 131. Prime factorization of 58950 in exponential form is:

58950 = 2¹ × 3² × 5² × 131¹

Step-2: Prime Factorization of 58964

Prime factors of 58964 are 2, 14741. Prime factorization of 58964 in exponential form is:

58964 = 2² × 14741¹

Step-3: Factors of 58950

List of positive integer factors of 58950 that divides 58950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 131, 150, 225, 262, 393, 450, 655, 786, 1179, 1310, 1965, 2358, 3275, 3930, 5895, 6550, 9825, 11790, 19650, 29475

Step-4: Factors of 58964

List of positive integer factors of 58964 that divides 58950 without a remainder.

1, 2, 4, 14741, 29482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58950 and 58964. The biggest common factor number is the GCF number.
So the greatest common factor 58950 and 58964 is 2.

Also check out the Least Common Multiple of 58950 and 58964