What is the Greatest Common Factor of 73808 and 73822?

Greatest common factor (GCF) of 73808 and 73822 is 14.

GCF(73808,73822) = 14

We will now calculate the prime factors of 73808 and 73822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73808 and 73822.

How to find the GCF of 73808 and 73822?

We will first find the prime factorization of 73808 and 73822. After we will calculate the factors of 73808 and 73822 and find the biggest common factor number .

Step-1: Prime Factorization of 73808

Prime factors of 73808 are 2, 7, 659. Prime factorization of 73808 in exponential form is:

73808 = 2⁴ × 7¹ × 659¹

Step-2: Prime Factorization of 73822

Prime factors of 73822 are 2, 7, 5273. Prime factorization of 73822 in exponential form is:

73822 = 2¹ × 7¹ × 5273¹

Step-3: Factors of 73808

List of positive integer factors of 73808 that divides 73808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 659, 1318, 2636, 4613, 5272, 9226, 10544, 18452, 36904

Step-4: Factors of 73822

List of positive integer factors of 73822 that divides 73808 without a remainder.

1, 2, 7, 14, 5273, 10546, 36911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73808 and 73822. The biggest common factor number is the GCF number.
So the greatest common factor 73808 and 73822 is 14.

Also check out the Least Common Multiple of 73808 and 73822