What is the Greatest Common Factor of 71769 and 71784?

Greatest common factor (GCF) of 71769 and 71784 is 3.

GCF(71769,71784) = 3

We will now calculate the prime factors of 71769 and 71784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71769 and 71784.

How to find the GCF of 71769 and 71784?

We will first find the prime factorization of 71769 and 71784. After we will calculate the factors of 71769 and 71784 and find the biggest common factor number .

Step-1: Prime Factorization of 71769

Prime factors of 71769 are 3, 47, 509. Prime factorization of 71769 in exponential form is:

71769 = 3¹ × 47¹ × 509¹

Step-2: Prime Factorization of 71784

Prime factors of 71784 are 2, 3, 997. Prime factorization of 71784 in exponential form is:

71784 = 2³ × 3² × 997¹

Step-3: Factors of 71769

List of positive integer factors of 71769 that divides 71769 without a remainder.

1, 3, 47, 141, 509, 1527, 23923

Step-4: Factors of 71784

List of positive integer factors of 71784 that divides 71769 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 997, 1994, 2991, 3988, 5982, 7976, 8973, 11964, 17946, 23928, 35892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71769 and 71784. The biggest common factor number is the GCF number.
So the greatest common factor 71769 and 71784 is 3.

Also check out the Least Common Multiple of 71769 and 71784