What is the Greatest Common Factor of 97414 and 97428?

Greatest common factor (GCF) of 97414 and 97428 is 2.

GCF(97414,97428) = 2

We will now calculate the prime factors of 97414 and 97428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97414 and 97428.

How to find the GCF of 97414 and 97428?

We will first find the prime factorization of 97414 and 97428. After we will calculate the factors of 97414 and 97428 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97428

Prime factors of 97428 are 2, 3, 23, 353. Prime factorization of 97428 in exponential form is:

97428 = 2² × 3¹ × 23¹ × 353¹

Step-3: Factors of 97414

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

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

Step-4: Factors of 97428

List of positive integer factors of 97428 that divides 97414 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 353, 706, 1059, 1412, 2118, 4236, 8119, 16238, 24357, 32476, 48714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97414 and 97428. The biggest common factor number is the GCF number.
So the greatest common factor 97414 and 97428 is 2.

Also check out the Least Common Multiple of 97414 and 97428