What is the Greatest Common Factor of 97548 and 97559?

Greatest common factor (GCF) of 97548 and 97559 is 11.

GCF(97548,97559) = 11

We will now calculate the prime factors of 97548 and 97559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97548 and 97559.

How to find the GCF of 97548 and 97559?

We will first find the prime factorization of 97548 and 97559. After we will calculate the factors of 97548 and 97559 and find the biggest common factor number .

Step-1: Prime Factorization of 97548

Prime factors of 97548 are 2, 3, 11, 739. Prime factorization of 97548 in exponential form is:

97548 = 2² × 3¹ × 11¹ × 739¹

Step-2: Prime Factorization of 97559

Prime factors of 97559 are 7, 11, 181. Prime factorization of 97559 in exponential form is:

97559 = 7² × 11¹ × 181¹

Step-3: Factors of 97548

List of positive integer factors of 97548 that divides 97548 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 739, 1478, 2217, 2956, 4434, 8129, 8868, 16258, 24387, 32516, 48774

Step-4: Factors of 97559

List of positive integer factors of 97559 that divides 97548 without a remainder.

1, 7, 11, 49, 77, 181, 539, 1267, 1991, 8869, 13937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97548 and 97559. The biggest common factor number is the GCF number.
So the greatest common factor 97548 and 97559 is 11.

Also check out the Least Common Multiple of 97548 and 97559