What is the Greatest Common Factor of 91608 and 91620?

Greatest common factor (GCF) of 91608 and 91620 is 12.

GCF(91608,91620) = 12

We will now calculate the prime factors of 91608 and 91620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91608 and 91620.

How to find the GCF of 91608 and 91620?

We will first find the prime factorization of 91608 and 91620. After we will calculate the factors of 91608 and 91620 and find the biggest common factor number .

Step-1: Prime Factorization of 91608

Prime factors of 91608 are 2, 3, 11, 347. Prime factorization of 91608 in exponential form is:

91608 = 2³ × 3¹ × 11¹ × 347¹

Step-2: Prime Factorization of 91620

Prime factors of 91620 are 2, 3, 5, 509. Prime factorization of 91620 in exponential form is:

91620 = 2² × 3² × 5¹ × 509¹

Step-3: Factors of 91608

List of positive integer factors of 91608 that divides 91608 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 347, 694, 1041, 1388, 2082, 2776, 3817, 4164, 7634, 8328, 11451, 15268, 22902, 30536, 45804

Step-4: Factors of 91620

List of positive integer factors of 91620 that divides 91608 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 509, 1018, 1527, 2036, 2545, 3054, 4581, 5090, 6108, 7635, 9162, 10180, 15270, 18324, 22905, 30540, 45810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91608 and 91620. The biggest common factor number is the GCF number.
So the greatest common factor 91608 and 91620 is 12.

Also check out the Least Common Multiple of 91608 and 91620