What is the Greatest Common Factor of 57040 and 57049?

Greatest common factor (GCF) of 57040 and 57049 is 1.

GCF(57040,57049) = 1

We will now calculate the prime factors of 57040 and 57049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57040 and 57049.

How to find the GCF of 57040 and 57049?

We will first find the prime factorization of 57040 and 57049. After we will calculate the factors of 57040 and 57049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57049

Prime factors of 57049 are 89, 641. Prime factorization of 57049 in exponential form is:

57049 = 89¹ × 641¹

Step-3: Factors of 57040

List of positive integer factors of 57040 that divides 57040 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

Step-4: Factors of 57049

List of positive integer factors of 57049 that divides 57040 without a remainder.

1, 89, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57040 and 57049. The biggest common factor number is the GCF number.
So the greatest common factor 57040 and 57049 is 1.

Also check out the Least Common Multiple of 57040 and 57049