What is the Greatest Common Factor of 57435 and 57455?

Greatest common factor (GCF) of 57435 and 57455 is 5.

GCF(57435,57455) = 5

We will now calculate the prime factors of 57435 and 57455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57435 and 57455.

How to find the GCF of 57435 and 57455?

We will first find the prime factorization of 57435 and 57455. After we will calculate the factors of 57435 and 57455 and find the biggest common factor number .

Step-1: Prime Factorization of 57435

Prime factors of 57435 are 3, 5, 7, 547. Prime factorization of 57435 in exponential form is:

57435 = 3¹ × 5¹ × 7¹ × 547¹

Step-2: Prime Factorization of 57455

Prime factors of 57455 are 5, 11491. Prime factorization of 57455 in exponential form is:

57455 = 5¹ × 11491¹

Step-3: Factors of 57435

List of positive integer factors of 57435 that divides 57435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 547, 1641, 2735, 3829, 8205, 11487, 19145

Step-4: Factors of 57455

List of positive integer factors of 57455 that divides 57435 without a remainder.

1, 5, 11491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57435 and 57455. The biggest common factor number is the GCF number.
So the greatest common factor 57435 and 57455 is 5.

Also check out the Least Common Multiple of 57435 and 57455