What is the Greatest Common Factor of 91408 and 91424?

Greatest common factor (GCF) of 91408 and 91424 is 16.

GCF(91408,91424) = 16

We will now calculate the prime factors of 91408 and 91424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91408 and 91424.

How to find the GCF of 91408 and 91424?

We will first find the prime factorization of 91408 and 91424. After we will calculate the factors of 91408 and 91424 and find the biggest common factor number .

Step-1: Prime Factorization of 91408

Prime factors of 91408 are 2, 29, 197. Prime factorization of 91408 in exponential form is:

91408 = 2⁴ × 29¹ × 197¹

Step-2: Prime Factorization of 91424

Prime factors of 91424 are 2, 2857. Prime factorization of 91424 in exponential form is:

91424 = 2⁵ × 2857¹

Step-3: Factors of 91408

List of positive integer factors of 91408 that divides 91408 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 197, 232, 394, 464, 788, 1576, 3152, 5713, 11426, 22852, 45704

Step-4: Factors of 91424

List of positive integer factors of 91424 that divides 91408 without a remainder.

1, 2, 4, 8, 16, 32, 2857, 5714, 11428, 22856, 45712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91408 and 91424. The biggest common factor number is the GCF number.
So the greatest common factor 91408 and 91424 is 16.

Also check out the Least Common Multiple of 91408 and 91424