What is the Greatest Common Factor of 69688 and 69700?

Greatest common factor (GCF) of 69688 and 69700 is 4.

GCF(69688,69700) = 4

We will now calculate the prime factors of 69688 and 69700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69688 and 69700.

How to find the GCF of 69688 and 69700?

We will first find the prime factorization of 69688 and 69700. After we will calculate the factors of 69688 and 69700 and find the biggest common factor number .

Step-1: Prime Factorization of 69688

Prime factors of 69688 are 2, 31, 281. Prime factorization of 69688 in exponential form is:

69688 = 2³ × 31¹ × 281¹

Step-2: Prime Factorization of 69700

Prime factors of 69700 are 2, 5, 17, 41. Prime factorization of 69700 in exponential form is:

69700 = 2² × 5² × 17¹ × 41¹

Step-3: Factors of 69688

List of positive integer factors of 69688 that divides 69688 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 281, 562, 1124, 2248, 8711, 17422, 34844

Step-4: Factors of 69700

List of positive integer factors of 69700 that divides 69688 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 41, 50, 68, 82, 85, 100, 164, 170, 205, 340, 410, 425, 697, 820, 850, 1025, 1394, 1700, 2050, 2788, 3485, 4100, 6970, 13940, 17425, 34850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69688 and 69700. The biggest common factor number is the GCF number.
So the greatest common factor 69688 and 69700 is 4.

Also check out the Least Common Multiple of 69688 and 69700