What is the Greatest Common Factor of 91665 and 91672?

Greatest common factor (GCF) of 91665 and 91672 is 7.

GCF(91665,91672) = 7

We will now calculate the prime factors of 91665 and 91672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91665 and 91672.

How to find the GCF of 91665 and 91672?

We will first find the prime factorization of 91665 and 91672. After we will calculate the factors of 91665 and 91672 and find the biggest common factor number .

Step-1: Prime Factorization of 91665

Prime factors of 91665 are 3, 5, 7, 97. Prime factorization of 91665 in exponential form is:

91665 = 3³ × 5¹ × 7¹ × 97¹

Step-2: Prime Factorization of 91672

Prime factors of 91672 are 2, 7, 1637. Prime factorization of 91672 in exponential form is:

91672 = 2³ × 7¹ × 1637¹

Step-3: Factors of 91665

List of positive integer factors of 91665 that divides 91665 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 97, 105, 135, 189, 291, 315, 485, 679, 873, 945, 1455, 2037, 2619, 3395, 4365, 6111, 10185, 13095, 18333, 30555

Step-4: Factors of 91672

List of positive integer factors of 91672 that divides 91665 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1637, 3274, 6548, 11459, 13096, 22918, 45836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91665 and 91672. The biggest common factor number is the GCF number.
So the greatest common factor 91665 and 91672 is 7.

Also check out the Least Common Multiple of 91665 and 91672