What is the Greatest Common Factor of 57435 and 57442?

Greatest common factor (GCF) of 57435 and 57442 is 7.

GCF(57435,57442) = 7

We will now calculate the prime factors of 57435 and 57442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57435 and 57442.

How to find the GCF of 57435 and 57442?

We will first find the prime factorization of 57435 and 57442. After we will calculate the factors of 57435 and 57442 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 57442

Prime factors of 57442 are 2, 7, 11, 373. Prime factorization of 57442 in exponential form is:

57442 = 2¹ × 7¹ × 11¹ × 373¹

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 57442

List of positive integer factors of 57442 that divides 57435 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 373, 746, 2611, 4103, 5222, 8206, 28721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57435 and 57442. The biggest common factor number is the GCF number.
So the greatest common factor 57435 and 57442 is 7.

Also check out the Least Common Multiple of 57435 and 57442