What is the Greatest Common Factor of 57430 and 57450?

Greatest common factor (GCF) of 57430 and 57450 is 10.

GCF(57430,57450) = 10

We will now calculate the prime factors of 57430 and 57450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57430 and 57450.

How to find the GCF of 57430 and 57450?

We will first find the prime factorization of 57430 and 57450. After we will calculate the factors of 57430 and 57450 and find the biggest common factor number .

Step-1: Prime Factorization of 57430

Prime factors of 57430 are 2, 5, 5743. Prime factorization of 57430 in exponential form is:

57430 = 2¹ × 5¹ × 5743¹

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 57430

List of positive integer factors of 57430 that divides 57430 without a remainder.

1, 2, 5, 10, 5743, 11486, 28715

Step-4: Factors of 57450

List of positive integer factors of 57450 that divides 57430 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 57430 and 57450. The biggest common factor number is the GCF number.
So the greatest common factor 57430 and 57450 is 10.

Also check out the Least Common Multiple of 57430 and 57450