What is the Greatest Common Factor of 97009 and 97020?

Greatest common factor (GCF) of 97009 and 97020 is 11.

GCF(97009,97020) = 11

We will now calculate the prime factors of 97009 and 97020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97009 and 97020.

How to find the GCF of 97009 and 97020?

We will first find the prime factorization of 97009 and 97020. After we will calculate the factors of 97009 and 97020 and find the biggest common factor number .

Step-1: Prime Factorization of 97009

Prime factors of 97009 are 11, 8819. Prime factorization of 97009 in exponential form is:

97009 = 11¹ × 8819¹

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 97009

List of positive integer factors of 97009 that divides 97009 without a remainder.

1, 11, 8819

Step-4: Factors of 97020

List of positive integer factors of 97020 that divides 97009 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 97009 and 97020. The biggest common factor number is the GCF number.
So the greatest common factor 97009 and 97020 is 11.

Also check out the Least Common Multiple of 97009 and 97020