What is the Greatest Common Factor of 74816 and 74822?

Greatest common factor (GCF) of 74816 and 74822 is 2.

GCF(74816,74822) = 2

We will now calculate the prime factors of 74816 and 74822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74816 and 74822.

How to find the GCF of 74816 and 74822?

We will first find the prime factorization of 74816 and 74822. After we will calculate the factors of 74816 and 74822 and find the biggest common factor number .

Step-1: Prime Factorization of 74816

Prime factors of 74816 are 2, 7, 167. Prime factorization of 74816 in exponential form is:

74816 = 2⁶ × 7¹ × 167¹

Step-2: Prime Factorization of 74822

Prime factors of 74822 are 2, 11, 19, 179. Prime factorization of 74822 in exponential form is:

74822 = 2¹ × 11¹ × 19¹ × 179¹

Step-3: Factors of 74816

List of positive integer factors of 74816 that divides 74816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 167, 224, 334, 448, 668, 1169, 1336, 2338, 2672, 4676, 5344, 9352, 10688, 18704, 37408

Step-4: Factors of 74822

List of positive integer factors of 74822 that divides 74816 without a remainder.

1, 2, 11, 19, 22, 38, 179, 209, 358, 418, 1969, 3401, 3938, 6802, 37411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74816 and 74822. The biggest common factor number is the GCF number.
So the greatest common factor 74816 and 74822 is 2.

Also check out the Least Common Multiple of 74816 and 74822