What is the Greatest Common Factor of 74816 and 74821?

Greatest common factor (GCF) of 74816 and 74821 is 1.

GCF(74816,74821) = 1

We will now calculate the prime factors of 74816 and 74821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74816 and 74821.

How to find the GCF of 74816 and 74821?

We will first find the prime factorization of 74816 and 74821. After we will calculate the factors of 74816 and 74821 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 74821

Prime factors of 74821 are 74821. Prime factorization of 74821 in exponential form is:

74821 = 74821¹

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 74821

List of positive integer factors of 74821 that divides 74816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74816 and 74821. The biggest common factor number is the GCF number.
So the greatest common factor 74816 and 74821 is 1.

Also check out the Least Common Multiple of 74816 and 74821