What is the Greatest Common Factor of 57295 and 57300?

Greatest common factor (GCF) of 57295 and 57300 is 5.

GCF(57295,57300) = 5

We will now calculate the prime factors of 57295 and 57300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57295 and 57300.

How to find the GCF of 57295 and 57300?

We will first find the prime factorization of 57295 and 57300. After we will calculate the factors of 57295 and 57300 and find the biggest common factor number .

Step-1: Prime Factorization of 57295

Prime factors of 57295 are 5, 7, 1637. Prime factorization of 57295 in exponential form is:

57295 = 5¹ × 7¹ × 1637¹

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 57295

List of positive integer factors of 57295 that divides 57295 without a remainder.

1, 5, 7, 35, 1637, 8185, 11459

Step-4: Factors of 57300

List of positive integer factors of 57300 that divides 57295 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 57295 and 57300. The biggest common factor number is the GCF number.
So the greatest common factor 57295 and 57300 is 5.

Also check out the Least Common Multiple of 57295 and 57300