What is the Greatest Common Factor of 97350 and 97356?

Greatest common factor (GCF) of 97350 and 97356 is 6.

GCF(97350,97356) = 6

We will now calculate the prime factors of 97350 and 97356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97350 and 97356.

How to find the GCF of 97350 and 97356?

We will first find the prime factorization of 97350 and 97356. After we will calculate the factors of 97350 and 97356 and find the biggest common factor number .

Step-1: Prime Factorization of 97350

Prime factors of 97350 are 2, 3, 5, 11, 59. Prime factorization of 97350 in exponential form is:

97350 = 2¹ × 3¹ × 5² × 11¹ × 59¹

Step-2: 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-3: Factors of 97350

List of positive integer factors of 97350 that divides 97350 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 59, 66, 75, 110, 118, 150, 165, 177, 275, 295, 330, 354, 550, 590, 649, 825, 885, 1298, 1475, 1650, 1770, 1947, 2950, 3245, 3894, 4425, 6490, 8850, 9735, 16225, 19470, 32450, 48675

Step-4: Factors of 97356

List of positive integer factors of 97356 that divides 97350 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97350 and 97356. The biggest common factor number is the GCF number.
So the greatest common factor 97350 and 97356 is 6.

Also check out the Least Common Multiple of 97350 and 97356