What is the Greatest Common Factor of 97020 and 97032?

Greatest common factor (GCF) of 97020 and 97032 is 12.

GCF(97020,97032) = 12

We will now calculate the prime factors of 97020 and 97032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97020 and 97032.

How to find the GCF of 97020 and 97032?

We will first find the prime factorization of 97020 and 97032. After we will calculate the factors of 97020 and 97032 and find the biggest common factor number .

Step-1: Prime Factorization of 97020

Prime factors of 97020 are 2, 3, 5, 7, 11. Prime factorization of 97020 in exponential form is:

97020 = 2² × 3² × 5¹ × 7² × 11¹

Step-2: Prime Factorization of 97032

Prime factors of 97032 are 2, 3, 13, 311. Prime factorization of 97032 in exponential form is:

97032 = 2³ × 3¹ × 13¹ × 311¹

Step-3: Factors of 97020

List of positive integer factors of 97020 that divides 97020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 28, 30, 33, 35, 36, 42, 44, 45, 49, 55, 60, 63, 66, 70, 77, 84, 90, 98, 99, 105, 110, 126, 132, 140, 147, 154, 165, 180, 196, 198, 210, 220, 231, 245, 252, 294, 308, 315, 330, 385, 396, 420, 441, 462, 490, 495, 539, 588, 630, 660, 693, 735, 770, 882, 924, 980, 990, 1078, 1155, 1260, 1386, 1470, 1540, 1617, 1764, 1980, 2156, 2205, 2310, 2695, 2772, 2940, 3234, 3465, 4410, 4620, 4851, 5390, 6468, 6930, 8085, 8820, 9702, 10780, 13860, 16170, 19404, 24255, 32340, 48510

Step-4: Factors of 97032

List of positive integer factors of 97032 that divides 97020 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 311, 312, 622, 933, 1244, 1866, 2488, 3732, 4043, 7464, 8086, 12129, 16172, 24258, 32344, 48516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97020 and 97032. The biggest common factor number is the GCF number.
So the greatest common factor 97020 and 97032 is 12.

Also check out the Least Common Multiple of 97020 and 97032