What is the Greatest Common Factor of 97390 and 97400?

Greatest common factor (GCF) of 97390 and 97400 is 10.

GCF(97390,97400) = 10

We will now calculate the prime factors of 97390 and 97400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97390 and 97400.

How to find the GCF of 97390 and 97400?

We will first find the prime factorization of 97390 and 97400. After we will calculate the factors of 97390 and 97400 and find the biggest common factor number .

Step-1: Prime Factorization of 97390

Prime factors of 97390 are 2, 5, 9739. Prime factorization of 97390 in exponential form is:

97390 = 2¹ × 5¹ × 9739¹

Step-2: Prime Factorization of 97400

Prime factors of 97400 are 2, 5, 487. Prime factorization of 97400 in exponential form is:

97400 = 2³ × 5² × 487¹

Step-3: Factors of 97390

List of positive integer factors of 97390 that divides 97390 without a remainder.

1, 2, 5, 10, 9739, 19478, 48695

Step-4: Factors of 97400

List of positive integer factors of 97400 that divides 97390 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 487, 974, 1948, 2435, 3896, 4870, 9740, 12175, 19480, 24350, 48700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97390 and 97400. The biggest common factor number is the GCF number.
So the greatest common factor 97390 and 97400 is 10.

Also check out the Least Common Multiple of 97390 and 97400