What is the Greatest Common Factor of 97356 and 97362?

Greatest common factor (GCF) of 97356 and 97362 is 6.

GCF(97356,97362) = 6

We will now calculate the prime factors of 97356 and 97362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97356 and 97362.

How to find the GCF of 97356 and 97362?

We will first find the prime factorization of 97356 and 97362. After we will calculate the factors of 97356 and 97362 and find the biggest common factor number .

Step-1: Prime Factorization of 97356

Prime factors of 97356 are 2, 3, 7, 19, 61. Prime factorization of 97356 in exponential form is:

97356 = 2² × 3¹ × 7¹ × 19¹ × 61¹

Step-2: Prime Factorization of 97362

Prime factors of 97362 are 2, 3, 601. Prime factorization of 97362 in exponential form is:

97362 = 2¹ × 3⁴ × 601¹

Step-3: Factors of 97356

List of positive integer factors of 97356 that divides 97356 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 61, 76, 84, 114, 122, 133, 183, 228, 244, 266, 366, 399, 427, 532, 732, 798, 854, 1159, 1281, 1596, 1708, 2318, 2562, 3477, 4636, 5124, 6954, 8113, 13908, 16226, 24339, 32452, 48678

Step-4: Factors of 97362

List of positive integer factors of 97362 that divides 97356 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 601, 1202, 1803, 3606, 5409, 10818, 16227, 32454, 48681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97356 and 97362. The biggest common factor number is the GCF number.
So the greatest common factor 97356 and 97362 is 6.

Also check out the Least Common Multiple of 97356 and 97362