What is the Greatest Common Factor of 97840 and 97857?

Greatest common factor (GCF) of 97840 and 97857 is 1.

GCF(97840,97857) = 1

We will now calculate the prime factors of 97840 and 97857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97840 and 97857.

How to find the GCF of 97840 and 97857?

We will first find the prime factorization of 97840 and 97857. After we will calculate the factors of 97840 and 97857 and find the biggest common factor number .

Step-1: Prime Factorization of 97840

Prime factors of 97840 are 2, 5, 1223. Prime factorization of 97840 in exponential form is:

97840 = 2⁴ × 5¹ × 1223¹

Step-2: Prime Factorization of 97857

Prime factors of 97857 are 3, 83, 131. Prime factorization of 97857 in exponential form is:

97857 = 3² × 83¹ × 131¹

Step-3: Factors of 97840

List of positive integer factors of 97840 that divides 97840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1223, 2446, 4892, 6115, 9784, 12230, 19568, 24460, 48920

Step-4: Factors of 97857

List of positive integer factors of 97857 that divides 97840 without a remainder.

1, 3, 9, 83, 131, 249, 393, 747, 1179, 10873, 32619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97840 and 97857. The biggest common factor number is the GCF number.
So the greatest common factor 97840 and 97857 is 1.

Also check out the Least Common Multiple of 97840 and 97857