What is the Greatest Common Factor of 69664 and 69676?

Greatest common factor (GCF) of 69664 and 69676 is 4.

GCF(69664,69676) = 4

We will now calculate the prime factors of 69664 and 69676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69664 and 69676.

How to find the GCF of 69664 and 69676?

We will first find the prime factorization of 69664 and 69676. After we will calculate the factors of 69664 and 69676 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 69676

Prime factors of 69676 are 2, 17419. Prime factorization of 69676 in exponential form is:

69676 = 2² × 17419¹

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 69676

List of positive integer factors of 69676 that divides 69664 without a remainder.

1, 2, 4, 17419, 34838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69664 and 69676. The biggest common factor number is the GCF number.
So the greatest common factor 69664 and 69676 is 4.

Also check out the Least Common Multiple of 69664 and 69676