What is the Greatest Common Factor of 74801 and 74816?

Greatest common factor (GCF) of 74801 and 74816 is 1.

GCF(74801,74816) = 1

We will now calculate the prime factors of 74801 and 74816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74801 and 74816.

How to find the GCF of 74801 and 74816?

We will first find the prime factorization of 74801 and 74816. After we will calculate the factors of 74801 and 74816 and find the biggest common factor number .

Step-1: Prime Factorization of 74801

Prime factors of 74801 are 131, 571. Prime factorization of 74801 in exponential form is:

74801 = 131¹ × 571¹

Step-2: 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-3: Factors of 74801

List of positive integer factors of 74801 that divides 74801 without a remainder.

1, 131, 571

Step-4: Factors of 74816

List of positive integer factors of 74816 that divides 74801 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74801 and 74816. The biggest common factor number is the GCF number.
So the greatest common factor 74801 and 74816 is 1.

Also check out the Least Common Multiple of 74801 and 74816