What is the Greatest Common Factor of 97822 and 97840?

Greatest common factor (GCF) of 97822 and 97840 is 2.

GCF(97822,97840) = 2

We will now calculate the prime factors of 97822 and 97840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97822 and 97840.

How to find the GCF of 97822 and 97840?

We will first find the prime factorization of 97822 and 97840. After we will calculate the factors of 97822 and 97840 and find the biggest common factor number .

Step-1: Prime Factorization of 97822

Prime factors of 97822 are 2, 59, 829. Prime factorization of 97822 in exponential form is:

97822 = 2¹ × 59¹ × 829¹

Step-2: 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-3: Factors of 97822

List of positive integer factors of 97822 that divides 97822 without a remainder.

1, 2, 59, 118, 829, 1658, 48911

Step-4: Factors of 97840

List of positive integer factors of 97840 that divides 97822 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97822 and 97840. The biggest common factor number is the GCF number.
So the greatest common factor 97822 and 97840 is 2.

Also check out the Least Common Multiple of 97822 and 97840