What is the Greatest Common Factor of 91542 and 91562?

Greatest common factor (GCF) of 91542 and 91562 is 2.

GCF(91542,91562) = 2

We will now calculate the prime factors of 91542 and 91562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91542 and 91562.

How to find the GCF of 91542 and 91562?

We will first find the prime factorization of 91542 and 91562. After we will calculate the factors of 91542 and 91562 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91562

Prime factors of 91562 are 2, 17, 2693. Prime factorization of 91562 in exponential form is:

91562 = 2¹ × 17¹ × 2693¹

Step-3: Factors of 91542

List of positive integer factors of 91542 that divides 91542 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

Step-4: Factors of 91562

List of positive integer factors of 91562 that divides 91542 without a remainder.

1, 2, 17, 34, 2693, 5386, 45781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91542 and 91562. The biggest common factor number is the GCF number.
So the greatest common factor 91542 and 91562 is 2.

Also check out the Least Common Multiple of 91542 and 91562