What is the Greatest Common Factor of 57421 and 57429?

Greatest common factor (GCF) of 57421 and 57429 is 1.

GCF(57421,57429) = 1

We will now calculate the prime factors of 57421 and 57429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57421 and 57429.

How to find the GCF of 57421 and 57429?

We will first find the prime factorization of 57421 and 57429. After we will calculate the factors of 57421 and 57429 and find the biggest common factor number .

Step-1: Prime Factorization of 57421

Prime factors of 57421 are 7, 13, 631. Prime factorization of 57421 in exponential form is:

57421 = 7¹ × 13¹ × 631¹

Step-2: Prime Factorization of 57429

Prime factors of 57429 are 3, 709. Prime factorization of 57429 in exponential form is:

57429 = 3⁴ × 709¹

Step-3: Factors of 57421

List of positive integer factors of 57421 that divides 57421 without a remainder.

1, 7, 13, 91, 631, 4417, 8203

Step-4: Factors of 57429

List of positive integer factors of 57429 that divides 57421 without a remainder.

1, 3, 9, 27, 81, 709, 2127, 6381, 19143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57421 and 57429. The biggest common factor number is the GCF number.
So the greatest common factor 57421 and 57429 is 1.

Also check out the Least Common Multiple of 57421 and 57429