What is the Greatest Common Factor of 97840 and 97853?

Greatest common factor (GCF) of 97840 and 97853 is 1.

GCF(97840,97853) = 1

We will now calculate the prime factors of 97840 and 97853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97840 and 97853.

How to find the GCF of 97840 and 97853?

We will first find the prime factorization of 97840 and 97853. After we will calculate the factors of 97840 and 97853 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 97853

Prime factors of 97853 are 7, 1997. Prime factorization of 97853 in exponential form is:

97853 = 7² × 1997¹

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 97853

List of positive integer factors of 97853 that divides 97840 without a remainder.

1, 7, 49, 1997, 13979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97840 and 97853. The biggest common factor number is the GCF number.
So the greatest common factor 97840 and 97853 is 1.

Also check out the Least Common Multiple of 97840 and 97853