What is the Greatest Common Factor of 57438 and 57450?

Greatest common factor (GCF) of 57438 and 57450 is 6.

GCF(57438,57450) = 6

We will now calculate the prime factors of 57438 and 57450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57438 and 57450.

How to find the GCF of 57438 and 57450?

We will first find the prime factorization of 57438 and 57450. After we will calculate the factors of 57438 and 57450 and find the biggest common factor number .

Step-1: Prime Factorization of 57438

Prime factors of 57438 are 2, 3, 3191. Prime factorization of 57438 in exponential form is:

57438 = 2¹ × 3² × 3191¹

Step-2: Prime Factorization of 57450

Prime factors of 57450 are 2, 3, 5, 383. Prime factorization of 57450 in exponential form is:

57450 = 2¹ × 3¹ × 5² × 383¹

Step-3: Factors of 57438

List of positive integer factors of 57438 that divides 57438 without a remainder.

1, 2, 3, 6, 9, 18, 3191, 6382, 9573, 19146, 28719

Step-4: Factors of 57450

List of positive integer factors of 57450 that divides 57438 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 383, 766, 1149, 1915, 2298, 3830, 5745, 9575, 11490, 19150, 28725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57438 and 57450. The biggest common factor number is the GCF number.
So the greatest common factor 57438 and 57450 is 6.

Also check out the Least Common Multiple of 57438 and 57450