What is the Greatest Common Factor of 91609 and 91616?

Greatest common factor (GCF) of 91609 and 91616 is 7.

GCF(91609,91616) = 7

We will now calculate the prime factors of 91609 and 91616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91609 and 91616.

How to find the GCF of 91609 and 91616?

We will first find the prime factorization of 91609 and 91616. After we will calculate the factors of 91609 and 91616 and find the biggest common factor number .

Step-1: Prime Factorization of 91609

Prime factors of 91609 are 7, 23, 569. Prime factorization of 91609 in exponential form is:

91609 = 7¹ × 23¹ × 569¹

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 91609

List of positive integer factors of 91609 that divides 91609 without a remainder.

1, 7, 23, 161, 569, 3983, 13087

Step-4: Factors of 91616

List of positive integer factors of 91616 that divides 91609 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 91609 and 91616. The biggest common factor number is the GCF number.
So the greatest common factor 91609 and 91616 is 7.

Also check out the Least Common Multiple of 91609 and 91616