What is the Greatest Common Factor of 97270 and 97285?

Greatest common factor (GCF) of 97270 and 97285 is 5.

GCF(97270,97285) = 5

We will now calculate the prime factors of 97270 and 97285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97270 and 97285.

How to find the GCF of 97270 and 97285?

We will first find the prime factorization of 97270 and 97285. After we will calculate the factors of 97270 and 97285 and find the biggest common factor number .

Step-1: Prime Factorization of 97270

Prime factors of 97270 are 2, 5, 71, 137. Prime factorization of 97270 in exponential form is:

97270 = 2¹ × 5¹ × 71¹ × 137¹

Step-2: Prime Factorization of 97285

Prime factors of 97285 are 5, 19457. Prime factorization of 97285 in exponential form is:

97285 = 5¹ × 19457¹

Step-3: Factors of 97270

List of positive integer factors of 97270 that divides 97270 without a remainder.

1, 2, 5, 10, 71, 137, 142, 274, 355, 685, 710, 1370, 9727, 19454, 48635

Step-4: Factors of 97285

List of positive integer factors of 97285 that divides 97270 without a remainder.

1, 5, 19457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97270 and 97285. The biggest common factor number is the GCF number.
So the greatest common factor 97270 and 97285 is 5.

Also check out the Least Common Multiple of 97270 and 97285