What is the Greatest Common Factor of 57029 and 57040?

Greatest common factor (GCF) of 57029 and 57040 is 1.

GCF(57029,57040) = 1

We will now calculate the prime factors of 57029 and 57040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57029 and 57040.

How to find the GCF of 57029 and 57040?

We will first find the prime factorization of 57029 and 57040. After we will calculate the factors of 57029 and 57040 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 57040

Prime factors of 57040 are 2, 5, 23, 31. Prime factorization of 57040 in exponential form is:

57040 = 2⁴ × 5¹ × 23¹ × 31¹

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 57040

List of positive integer factors of 57040 that divides 57029 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 31, 40, 46, 62, 80, 92, 115, 124, 155, 184, 230, 248, 310, 368, 460, 496, 620, 713, 920, 1240, 1426, 1840, 2480, 2852, 3565, 5704, 7130, 11408, 14260, 28520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57029 and 57040. The biggest common factor number is the GCF number.
So the greatest common factor 57029 and 57040 is 1.

Also check out the Least Common Multiple of 57029 and 57040