What is the Greatest Common Factor of 96354 and 96362?

Greatest common factor (GCF) of 96354 and 96362 is 2.

GCF(96354,96362) = 2

We will now calculate the prime factors of 96354 and 96362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96354 and 96362.

How to find the GCF of 96354 and 96362?

We will first find the prime factorization of 96354 and 96362. After we will calculate the factors of 96354 and 96362 and find the biggest common factor number .

Step-1: Prime Factorization of 96354

Prime factors of 96354 are 2, 3, 53, 101. Prime factorization of 96354 in exponential form is:

96354 = 2¹ × 3² × 53¹ × 101¹

Step-2: Prime Factorization of 96362

Prime factors of 96362 are 2, 7, 6883. Prime factorization of 96362 in exponential form is:

96362 = 2¹ × 7¹ × 6883¹

Step-3: Factors of 96354

List of positive integer factors of 96354 that divides 96354 without a remainder.

1, 2, 3, 6, 9, 18, 53, 101, 106, 159, 202, 303, 318, 477, 606, 909, 954, 1818, 5353, 10706, 16059, 32118, 48177

Step-4: Factors of 96362

List of positive integer factors of 96362 that divides 96354 without a remainder.

1, 2, 7, 14, 6883, 13766, 48181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96354 and 96362. The biggest common factor number is the GCF number.
So the greatest common factor 96354 and 96362 is 2.

Also check out the Least Common Multiple of 96354 and 96362