What is the Greatest Common Factor of 74816 and 74830?

Greatest common factor (GCF) of 74816 and 74830 is 14.

GCF(74816,74830) = 14

We will now calculate the prime factors of 74816 and 74830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74816 and 74830.

How to find the GCF of 74816 and 74830?

We will first find the prime factorization of 74816 and 74830. After we will calculate the factors of 74816 and 74830 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 74830

Prime factors of 74830 are 2, 5, 7, 1069. Prime factorization of 74830 in exponential form is:

74830 = 2¹ × 5¹ × 7¹ × 1069¹

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 74830

List of positive integer factors of 74830 that divides 74816 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1069, 2138, 5345, 7483, 10690, 14966, 37415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74816 and 74830. The biggest common factor number is the GCF number.
So the greatest common factor 74816 and 74830 is 14.

Also check out the Least Common Multiple of 74816 and 74830