What is the Greatest Common Factor of 97400 and 97414?

Greatest common factor (GCF) of 97400 and 97414 is 2.

GCF(97400,97414) = 2

We will now calculate the prime factors of 97400 and 97414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97400 and 97414.

How to find the GCF of 97400 and 97414?

We will first find the prime factorization of 97400 and 97414. After we will calculate the factors of 97400 and 97414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97414

Prime factors of 97414 are 2, 53, 919. Prime factorization of 97414 in exponential form is:

97414 = 2¹ × 53¹ × 919¹

Step-3: Factors of 97400

List of positive integer factors of 97400 that divides 97400 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

Step-4: Factors of 97414

List of positive integer factors of 97414 that divides 97400 without a remainder.

1, 2, 53, 106, 919, 1838, 48707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97400 and 97414. The biggest common factor number is the GCF number.
So the greatest common factor 97400 and 97414 is 2.

Also check out the Least Common Multiple of 97400 and 97414