What is the Greatest Common Factor of 97386 and 97402?

Greatest common factor (GCF) of 97386 and 97402 is 2.

GCF(97386,97402) = 2

We will now calculate the prime factors of 97386 and 97402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97386 and 97402.

How to find the GCF of 97386 and 97402?

We will first find the prime factorization of 97386 and 97402. After we will calculate the factors of 97386 and 97402 and find the biggest common factor number .

Step-1: Prime Factorization of 97386

Prime factors of 97386 are 2, 3, 16231. Prime factorization of 97386 in exponential form is:

97386 = 2¹ × 3¹ × 16231¹

Step-2: Prime Factorization of 97402

Prime factors of 97402 are 2, 31, 1571. Prime factorization of 97402 in exponential form is:

97402 = 2¹ × 31¹ × 1571¹

Step-3: Factors of 97386

List of positive integer factors of 97386 that divides 97386 without a remainder.

1, 2, 3, 6, 16231, 32462, 48693

Step-4: Factors of 97402

List of positive integer factors of 97402 that divides 97386 without a remainder.

1, 2, 31, 62, 1571, 3142, 48701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97386 and 97402. The biggest common factor number is the GCF number.
So the greatest common factor 97386 and 97402 is 2.

Also check out the Least Common Multiple of 97386 and 97402