What is the Greatest Common Factor of 69280 and 69292?

Greatest common factor (GCF) of 69280 and 69292 is 4.

GCF(69280,69292) = 4

We will now calculate the prime factors of 69280 and 69292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69280 and 69292.

How to find the GCF of 69280 and 69292?

We will first find the prime factorization of 69280 and 69292. After we will calculate the factors of 69280 and 69292 and find the biggest common factor number .

Step-1: Prime Factorization of 69280

Prime factors of 69280 are 2, 5, 433. Prime factorization of 69280 in exponential form is:

69280 = 2⁵ × 5¹ × 433¹

Step-2: Prime Factorization of 69292

Prime factors of 69292 are 2, 17, 1019. Prime factorization of 69292 in exponential form is:

69292 = 2² × 17¹ × 1019¹

Step-3: Factors of 69280

List of positive integer factors of 69280 that divides 69280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 433, 866, 1732, 2165, 3464, 4330, 6928, 8660, 13856, 17320, 34640

Step-4: Factors of 69292

List of positive integer factors of 69292 that divides 69280 without a remainder.

1, 2, 4, 17, 34, 68, 1019, 2038, 4076, 17323, 34646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69280 and 69292. The biggest common factor number is the GCF number.
So the greatest common factor 69280 and 69292 is 4.

Also check out the Least Common Multiple of 69280 and 69292