What is the Greatest Common Factor of 97020 and 97025?

Greatest common factor (GCF) of 97020 and 97025 is 5.

GCF(97020,97025) = 5

We will now calculate the prime factors of 97020 and 97025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97020 and 97025.

How to find the GCF of 97020 and 97025?

We will first find the prime factorization of 97020 and 97025. After we will calculate the factors of 97020 and 97025 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 97025

Prime factors of 97025 are 5, 3881. Prime factorization of 97025 in exponential form is:

97025 = 5² × 3881¹

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 97025

List of positive integer factors of 97025 that divides 97020 without a remainder.

1, 5, 25, 3881, 19405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97020 and 97025. The biggest common factor number is the GCF number.
So the greatest common factor 97020 and 97025 is 5.

Also check out the Least Common Multiple of 97020 and 97025