What is the Greatest Common Factor of 69664 and 69669?

Greatest common factor (GCF) of 69664 and 69669 is 1.

GCF(69664,69669) = 1

We will now calculate the prime factors of 69664 and 69669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69664 and 69669.

How to find the GCF of 69664 and 69669?

We will first find the prime factorization of 69664 and 69669. After we will calculate the factors of 69664 and 69669 and find the biggest common factor number .

Step-1: Prime Factorization of 69664

Prime factors of 69664 are 2, 7, 311. Prime factorization of 69664 in exponential form is:

69664 = 2⁵ × 7¹ × 311¹

Step-2: Prime Factorization of 69669

Prime factors of 69669 are 3, 7741. Prime factorization of 69669 in exponential form is:

69669 = 3² × 7741¹

Step-3: Factors of 69664

List of positive integer factors of 69664 that divides 69664 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 311, 622, 1244, 2177, 2488, 4354, 4976, 8708, 9952, 17416, 34832

Step-4: Factors of 69669

List of positive integer factors of 69669 that divides 69664 without a remainder.

1, 3, 9, 7741, 23223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69664 and 69669. The biggest common factor number is the GCF number.
So the greatest common factor 69664 and 69669 is 1.

Also check out the Least Common Multiple of 69664 and 69669