What is the Greatest Common Factor of 97428 and 97436?

Greatest common factor (GCF) of 97428 and 97436 is 4.

GCF(97428,97436) = 4

We will now calculate the prime factors of 97428 and 97436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97428 and 97436.

How to find the GCF of 97428 and 97436?

We will first find the prime factorization of 97428 and 97436. After we will calculate the factors of 97428 and 97436 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 97436

Prime factors of 97436 are 2, 24359. Prime factorization of 97436 in exponential form is:

97436 = 2² × 24359¹

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 97436

List of positive integer factors of 97436 that divides 97428 without a remainder.

1, 2, 4, 24359, 48718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97428 and 97436. The biggest common factor number is the GCF number.
So the greatest common factor 97428 and 97436 is 4.

Also check out the Least Common Multiple of 97428 and 97436