What is the Greatest Common Factor of 57290 and 57300?

Greatest common factor (GCF) of 57290 and 57300 is 10.

GCF(57290,57300) = 10

We will now calculate the prime factors of 57290 and 57300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57290 and 57300.

How to find the GCF of 57290 and 57300?

We will first find the prime factorization of 57290 and 57300. After we will calculate the factors of 57290 and 57300 and find the biggest common factor number .

Step-1: Prime Factorization of 57290

Prime factors of 57290 are 2, 5, 17, 337. Prime factorization of 57290 in exponential form is:

57290 = 2¹ × 5¹ × 17¹ × 337¹

Step-2: Prime Factorization of 57300

Prime factors of 57300 are 2, 3, 5, 191. Prime factorization of 57300 in exponential form is:

57300 = 2² × 3¹ × 5² × 191¹

Step-3: Factors of 57290

List of positive integer factors of 57290 that divides 57290 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 337, 674, 1685, 3370, 5729, 11458, 28645

Step-4: Factors of 57300

List of positive integer factors of 57300 that divides 57290 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 191, 300, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 4775, 5730, 9550, 11460, 14325, 19100, 28650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57290 and 57300. The biggest common factor number is the GCF number.
So the greatest common factor 57290 and 57300 is 10.

Also check out the Least Common Multiple of 57290 and 57300