What is the Greatest Common Factor of 91536 and 91542?

Greatest common factor (GCF) of 91536 and 91542 is 6.

GCF(91536,91542) = 6

We will now calculate the prime factors of 91536 and 91542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91536 and 91542.

How to find the GCF of 91536 and 91542?

We will first find the prime factorization of 91536 and 91542. After we will calculate the factors of 91536 and 91542 and find the biggest common factor number .

Step-1: Prime Factorization of 91536

Prime factors of 91536 are 2, 3, 1907. Prime factorization of 91536 in exponential form is:

91536 = 2⁴ × 3¹ × 1907¹

Step-2: Prime Factorization of 91542

Prime factors of 91542 are 2, 3, 11, 19, 73. Prime factorization of 91542 in exponential form is:

91542 = 2¹ × 3¹ × 11¹ × 19¹ × 73¹

Step-3: Factors of 91536

List of positive integer factors of 91536 that divides 91536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1907, 3814, 5721, 7628, 11442, 15256, 22884, 30512, 45768

Step-4: Factors of 91542

List of positive integer factors of 91542 that divides 91536 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 73, 114, 146, 209, 219, 418, 438, 627, 803, 1254, 1387, 1606, 2409, 2774, 4161, 4818, 8322, 15257, 30514, 45771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91536 and 91542. The biggest common factor number is the GCF number.
So the greatest common factor 91536 and 91542 is 6.

Also check out the Least Common Multiple of 91536 and 91542