What is the Greatest Common Factor of 95769 and 95784?

Greatest common factor (GCF) of 95769 and 95784 is 3.

GCF(95769,95784) = 3

We will now calculate the prime factors of 95769 and 95784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95769 and 95784.

How to find the GCF of 95769 and 95784?

We will first find the prime factorization of 95769 and 95784. After we will calculate the factors of 95769 and 95784 and find the biggest common factor number .

Step-1: Prime Factorization of 95769

Prime factors of 95769 are 3, 3547. Prime factorization of 95769 in exponential form is:

95769 = 3³ × 3547¹

Step-2: 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-3: Factors of 95769

List of positive integer factors of 95769 that divides 95769 without a remainder.

1, 3, 9, 27, 3547, 10641, 31923

Step-4: Factors of 95784

List of positive integer factors of 95784 that divides 95769 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95769 and 95784. The biggest common factor number is the GCF number.
So the greatest common factor 95769 and 95784 is 3.

Also check out the Least Common Multiple of 95769 and 95784