What is the Greatest Common Factor of 69024 and 69040?

Greatest common factor (GCF) of 69024 and 69040 is 16.

GCF(69024,69040) = 16

We will now calculate the prime factors of 69024 and 69040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69024 and 69040.

How to find the GCF of 69024 and 69040?

We will first find the prime factorization of 69024 and 69040. After we will calculate the factors of 69024 and 69040 and find the biggest common factor number .

Step-1: Prime Factorization of 69024

Prime factors of 69024 are 2, 3, 719. Prime factorization of 69024 in exponential form is:

69024 = 2⁵ × 3¹ × 719¹

Step-2: 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-3: Factors of 69024

List of positive integer factors of 69024 that divides 69024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 719, 1438, 2157, 2876, 4314, 5752, 8628, 11504, 17256, 23008, 34512

Step-4: Factors of 69040

List of positive integer factors of 69040 that divides 69024 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69024 and 69040. The biggest common factor number is the GCF number.
So the greatest common factor 69024 and 69040 is 16.

Also check out the Least Common Multiple of 69024 and 69040