What is the Greatest Common Factor of 69040 and 69049?

Greatest common factor (GCF) of 69040 and 69049 is 1.

GCF(69040,69049) = 1

We will now calculate the prime factors of 69040 and 69049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69040 and 69049.

How to find the GCF of 69040 and 69049?

We will first find the prime factorization of 69040 and 69049. After we will calculate the factors of 69040 and 69049 and find the biggest common factor number .

Step-1: Prime Factorization of 69040

Prime factors of 69040 are 2, 5, 863. Prime factorization of 69040 in exponential form is:

69040 = 2⁴ × 5¹ × 863¹

Step-2: Prime Factorization of 69049

Prime factors of 69049 are 29, 2381. Prime factorization of 69049 in exponential form is:

69049 = 29¹ × 2381¹

Step-3: Factors of 69040

List of positive integer factors of 69040 that divides 69040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 863, 1726, 3452, 4315, 6904, 8630, 13808, 17260, 34520

Step-4: Factors of 69049

List of positive integer factors of 69049 that divides 69040 without a remainder.

1, 29, 2381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69040 and 69049. The biggest common factor number is the GCF number.
So the greatest common factor 69040 and 69049 is 1.

Also check out the Least Common Multiple of 69040 and 69049