What is the Greatest Common Factor of 95784 and 95797?

Greatest common factor (GCF) of 95784 and 95797 is 13.

GCF(95784,95797) = 13

We will now calculate the prime factors of 95784 and 95797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95784 and 95797.

How to find the GCF of 95784 and 95797?

We will first find the prime factorization of 95784 and 95797. After we will calculate the factors of 95784 and 95797 and find the biggest common factor number .

Step-1: Prime Factorization of 95784

Prime factors of 95784 are 2, 3, 13, 307. Prime factorization of 95784 in exponential form is:

95784 = 2³ × 3¹ × 13¹ × 307¹

Step-2: Prime Factorization of 95797

Prime factors of 95797 are 13, 7369. Prime factorization of 95797 in exponential form is:

95797 = 13¹ × 7369¹

Step-3: Factors of 95784

List of positive integer factors of 95784 that divides 95784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 307, 312, 614, 921, 1228, 1842, 2456, 3684, 3991, 7368, 7982, 11973, 15964, 23946, 31928, 47892

Step-4: Factors of 95797

List of positive integer factors of 95797 that divides 95784 without a remainder.

1, 13, 7369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95784 and 95797. The biggest common factor number is the GCF number.
So the greatest common factor 95784 and 95797 is 13.

Also check out the Least Common Multiple of 95784 and 95797