What is the Greatest Common Factor of 91464 and 91472?

Greatest common factor (GCF) of 91464 and 91472 is 8.

GCF(91464,91472) = 8

We will now calculate the prime factors of 91464 and 91472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91464 and 91472.

How to find the GCF of 91464 and 91472?

We will first find the prime factorization of 91464 and 91472. After we will calculate the factors of 91464 and 91472 and find the biggest common factor number .

Step-1: Prime Factorization of 91464

Prime factors of 91464 are 2, 3, 37, 103. Prime factorization of 91464 in exponential form is:

91464 = 2³ × 3¹ × 37¹ × 103¹

Step-2: Prime Factorization of 91472

Prime factors of 91472 are 2, 5717. Prime factorization of 91472 in exponential form is:

91472 = 2⁴ × 5717¹

Step-3: Factors of 91464

List of positive integer factors of 91464 that divides 91464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 103, 111, 148, 206, 222, 296, 309, 412, 444, 618, 824, 888, 1236, 2472, 3811, 7622, 11433, 15244, 22866, 30488, 45732

Step-4: Factors of 91472

List of positive integer factors of 91472 that divides 91464 without a remainder.

1, 2, 4, 8, 16, 5717, 11434, 22868, 45736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91464 and 91472. The biggest common factor number is the GCF number.
So the greatest common factor 91464 and 91472 is 8.

Also check out the Least Common Multiple of 91464 and 91472