What is the Greatest Common Factor of 58940 and 58950?

Greatest common factor (GCF) of 58940 and 58950 is 10.

GCF(58940,58950) = 10

We will now calculate the prime factors of 58940 and 58950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58940 and 58950.

How to find the GCF of 58940 and 58950?

We will first find the prime factorization of 58940 and 58950. After we will calculate the factors of 58940 and 58950 and find the biggest common factor number .

Step-1: Prime Factorization of 58940

Prime factors of 58940 are 2, 5, 7, 421. Prime factorization of 58940 in exponential form is:

58940 = 2² × 5¹ × 7¹ × 421¹

Step-2: 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-3: Factors of 58940

List of positive integer factors of 58940 that divides 58940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 421, 842, 1684, 2105, 2947, 4210, 5894, 8420, 11788, 14735, 29470

Step-4: Factors of 58950

List of positive integer factors of 58950 that divides 58940 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58940 and 58950. The biggest common factor number is the GCF number.
So the greatest common factor 58940 and 58950 is 10.

Also check out the Least Common Multiple of 58940 and 58950