What is the Greatest Common Factor of 57030 and 57035?

Greatest common factor (GCF) of 57030 and 57035 is 5.

GCF(57030,57035) = 5

We will now calculate the prime factors of 57030 and 57035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57030 and 57035.

How to find the GCF of 57030 and 57035?

We will first find the prime factorization of 57030 and 57035. After we will calculate the factors of 57030 and 57035 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 57035

Prime factors of 57035 are 5, 11, 17, 61. Prime factorization of 57035 in exponential form is:

57035 = 5¹ × 11¹ × 17¹ × 61¹

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 57035

List of positive integer factors of 57035 that divides 57030 without a remainder.

1, 5, 11, 17, 55, 61, 85, 187, 305, 671, 935, 1037, 3355, 5185, 11407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57030 and 57035. The biggest common factor number is the GCF number.
So the greatest common factor 57030 and 57035 is 5.

Also check out the Least Common Multiple of 57030 and 57035