What is the Greatest Common Factor of 97410 and 97425?

Greatest common factor (GCF) of 97410 and 97425 is 15.

GCF(97410,97425) = 15

We will now calculate the prime factors of 97410 and 97425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97410 and 97425.

How to find the GCF of 97410 and 97425?

We will first find the prime factorization of 97410 and 97425. After we will calculate the factors of 97410 and 97425 and find the biggest common factor number .

Step-1: Prime Factorization of 97410

Prime factors of 97410 are 2, 3, 5, 17, 191. Prime factorization of 97410 in exponential form is:

97410 = 2¹ × 3¹ × 5¹ × 17¹ × 191¹

Step-2: Prime Factorization of 97425

Prime factors of 97425 are 3, 5, 433. Prime factorization of 97425 in exponential form is:

97425 = 3² × 5² × 433¹

Step-3: Factors of 97410

List of positive integer factors of 97410 that divides 97410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 191, 255, 382, 510, 573, 955, 1146, 1910, 2865, 3247, 5730, 6494, 9741, 16235, 19482, 32470, 48705

Step-4: Factors of 97425

List of positive integer factors of 97425 that divides 97410 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 433, 1299, 2165, 3897, 6495, 10825, 19485, 32475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97410 and 97425. The biggest common factor number is the GCF number.
So the greatest common factor 97410 and 97425 is 15.

Also check out the Least Common Multiple of 97410 and 97425