What is the Greatest Common Factor of 97428 and 97442?

Greatest common factor (GCF) of 97428 and 97442 is 2.

GCF(97428,97442) = 2

We will now calculate the prime factors of 97428 and 97442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97428 and 97442.

How to find the GCF of 97428 and 97442?

We will first find the prime factorization of 97428 and 97442. After we will calculate the factors of 97428 and 97442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97442

Prime factors of 97442 are 2, 83, 587. Prime factorization of 97442 in exponential form is:

97442 = 2¹ × 83¹ × 587¹

Step-3: Factors of 97428

List of positive integer factors of 97428 that divides 97428 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

Step-4: Factors of 97442

List of positive integer factors of 97442 that divides 97428 without a remainder.

1, 2, 83, 166, 587, 1174, 48721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97428 and 97442. The biggest common factor number is the GCF number.
So the greatest common factor 97428 and 97442 is 2.

Also check out the Least Common Multiple of 97428 and 97442