What is the Greatest Common Factor of 97016 and 97020?

Greatest common factor (GCF) of 97016 and 97020 is 4.

GCF(97016,97020) = 4

We will now calculate the prime factors of 97016 and 97020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97016 and 97020.

How to find the GCF of 97016 and 97020?

We will first find the prime factorization of 97016 and 97020. After we will calculate the factors of 97016 and 97020 and find the biggest common factor number .

Step-1: Prime Factorization of 97016

Prime factors of 97016 are 2, 67, 181. Prime factorization of 97016 in exponential form is:

97016 = 2³ × 67¹ × 181¹

Step-2: 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-3: Factors of 97016

List of positive integer factors of 97016 that divides 97016 without a remainder.

1, 2, 4, 8, 67, 134, 181, 268, 362, 536, 724, 1448, 12127, 24254, 48508

Step-4: Factors of 97020

List of positive integer factors of 97020 that divides 97016 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97016 and 97020. The biggest common factor number is the GCF number.
So the greatest common factor 97016 and 97020 is 4.

Also check out the Least Common Multiple of 97016 and 97020