What is the Greatest Common Factor of 91596 and 91616?

Greatest common factor (GCF) of 91596 and 91616 is 4.

GCF(91596,91616) = 4

We will now calculate the prime factors of 91596 and 91616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91596 and 91616.

How to find the GCF of 91596 and 91616?

We will first find the prime factorization of 91596 and 91616. After we will calculate the factors of 91596 and 91616 and find the biggest common factor number .

Step-1: Prime Factorization of 91596

Prime factors of 91596 are 2, 3, 17, 449. Prime factorization of 91596 in exponential form is:

91596 = 2² × 3¹ × 17¹ × 449¹

Step-2: Prime Factorization of 91616

Prime factors of 91616 are 2, 7, 409. Prime factorization of 91616 in exponential form is:

91616 = 2⁵ × 7¹ × 409¹

Step-3: Factors of 91596

List of positive integer factors of 91596 that divides 91596 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 449, 898, 1347, 1796, 2694, 5388, 7633, 15266, 22899, 30532, 45798

Step-4: Factors of 91616

List of positive integer factors of 91616 that divides 91596 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 409, 818, 1636, 2863, 3272, 5726, 6544, 11452, 13088, 22904, 45808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91596 and 91616. The biggest common factor number is the GCF number.
So the greatest common factor 91596 and 91616 is 4.

Also check out the Least Common Multiple of 91596 and 91616