What is the Greatest Common Factor of 97356 and 97361?

Greatest common factor (GCF) of 97356 and 97361 is 1.

GCF(97356,97361) = 1

We will now calculate the prime factors of 97356 and 97361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97356 and 97361.

How to find the GCF of 97356 and 97361?

We will first find the prime factorization of 97356 and 97361. After we will calculate the factors of 97356 and 97361 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 97361

Prime factors of 97361 are 11, 53, 167. Prime factorization of 97361 in exponential form is:

97361 = 11¹ × 53¹ × 167¹

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 97361

List of positive integer factors of 97361 that divides 97356 without a remainder.

1, 11, 53, 167, 583, 1837, 8851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97356 and 97361. The biggest common factor number is the GCF number.
So the greatest common factor 97356 and 97361 is 1.

Also check out the Least Common Multiple of 97356 and 97361