What is the Greatest Common Factor of 69771 and 69784?

Greatest common factor (GCF) of 69771 and 69784 is 13.

GCF(69771,69784) = 13

We will now calculate the prime factors of 69771 and 69784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69771 and 69784.

How to find the GCF of 69771 and 69784?

We will first find the prime factorization of 69771 and 69784. After we will calculate the factors of 69771 and 69784 and find the biggest common factor number .

Step-1: Prime Factorization of 69771

Prime factors of 69771 are 3, 13, 1789. Prime factorization of 69771 in exponential form is:

69771 = 3¹ × 13¹ × 1789¹

Step-2: Prime Factorization of 69784

Prime factors of 69784 are 2, 11, 13, 61. Prime factorization of 69784 in exponential form is:

69784 = 2³ × 11¹ × 13¹ × 61¹

Step-3: Factors of 69771

List of positive integer factors of 69771 that divides 69771 without a remainder.

1, 3, 13, 39, 1789, 5367, 23257

Step-4: Factors of 69784

List of positive integer factors of 69784 that divides 69771 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 61, 88, 104, 122, 143, 244, 286, 488, 572, 671, 793, 1144, 1342, 1586, 2684, 3172, 5368, 6344, 8723, 17446, 34892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69771 and 69784. The biggest common factor number is the GCF number.
So the greatest common factor 69771 and 69784 is 13.

Also check out the Least Common Multiple of 69771 and 69784