What is the Greatest Common Factor of 97565 and 97584?

Greatest common factor (GCF) of 97565 and 97584 is 19.

GCF(97565,97584) = 19

We will now calculate the prime factors of 97565 and 97584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97565 and 97584.

How to find the GCF of 97565 and 97584?

We will first find the prime factorization of 97565 and 97584. After we will calculate the factors of 97565 and 97584 and find the biggest common factor number .

Step-1: Prime Factorization of 97565

Prime factors of 97565 are 5, 13, 19, 79. Prime factorization of 97565 in exponential form is:

97565 = 5¹ × 13¹ × 19¹ × 79¹

Step-2: Prime Factorization of 97584

Prime factors of 97584 are 2, 3, 19, 107. Prime factorization of 97584 in exponential form is:

97584 = 2⁴ × 3¹ × 19¹ × 107¹

Step-3: Factors of 97565

List of positive integer factors of 97565 that divides 97565 without a remainder.

1, 5, 13, 19, 65, 79, 95, 247, 395, 1027, 1235, 1501, 5135, 7505, 19513

Step-4: Factors of 97584

List of positive integer factors of 97584 that divides 97565 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 107, 114, 152, 214, 228, 304, 321, 428, 456, 642, 856, 912, 1284, 1712, 2033, 2568, 4066, 5136, 6099, 8132, 12198, 16264, 24396, 32528, 48792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97565 and 97584. The biggest common factor number is the GCF number.
So the greatest common factor 97565 and 97584 is 19.

Also check out the Least Common Multiple of 97565 and 97584