What is the Greatest Common Factor of 57030 and 57040?

Greatest common factor (GCF) of 57030 and 57040 is 10.

GCF(57030,57040) = 10

We will now calculate the prime factors of 57030 and 57040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57030 and 57040.

How to find the GCF of 57030 and 57040?

We will first find the prime factorization of 57030 and 57040. After we will calculate the factors of 57030 and 57040 and find the biggest common factor number .

Step-1: Prime Factorization of 57030

Prime factors of 57030 are 2, 3, 5, 1901. Prime factorization of 57030 in exponential form is:

57030 = 2¹ × 3¹ × 5¹ × 1901¹

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 57030

List of positive integer factors of 57030 that divides 57030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1901, 3802, 5703, 9505, 11406, 19010, 28515

Step-4: Factors of 57040

List of positive integer factors of 57040 that divides 57030 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 57030 and 57040. The biggest common factor number is the GCF number.
So the greatest common factor 57030 and 57040 is 10.

Also check out the Least Common Multiple of 57030 and 57040