What is the Greatest Common Factor of 57029 and 57043?

Greatest common factor (GCF) of 57029 and 57043 is 7.

GCF(57029,57043) = 7

We will now calculate the prime factors of 57029 and 57043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57029 and 57043.

How to find the GCF of 57029 and 57043?

We will first find the prime factorization of 57029 and 57043. After we will calculate the factors of 57029 and 57043 and find the biggest common factor number .

Step-1: Prime Factorization of 57029

Prime factors of 57029 are 7, 8147. Prime factorization of 57029 in exponential form is:

57029 = 7¹ × 8147¹

Step-2: Prime Factorization of 57043

Prime factors of 57043 are 7, 29, 281. Prime factorization of 57043 in exponential form is:

57043 = 7¹ × 29¹ × 281¹

Step-3: Factors of 57029

List of positive integer factors of 57029 that divides 57029 without a remainder.

1, 7, 8147

Step-4: Factors of 57043

List of positive integer factors of 57043 that divides 57029 without a remainder.

1, 7, 29, 203, 281, 1967, 8149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57029 and 57043. The biggest common factor number is the GCF number.
So the greatest common factor 57029 and 57043 is 7.

Also check out the Least Common Multiple of 57029 and 57043