What is the Greatest Common Factor of 53824 and 53840?

Greatest common factor (GCF) of 53824 and 53840 is 16.

GCF(53824,53840) = 16

We will now calculate the prime factors of 53824 and 53840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53824 and 53840.

How to find the GCF of 53824 and 53840?

We will first find the prime factorization of 53824 and 53840. After we will calculate the factors of 53824 and 53840 and find the biggest common factor number .

Step-1: Prime Factorization of 53824

Prime factors of 53824 are 2, 29. Prime factorization of 53824 in exponential form is:

53824 = 2⁶ × 29²

Step-2: Prime Factorization of 53840

Prime factors of 53840 are 2, 5, 673. Prime factorization of 53840 in exponential form is:

53840 = 2⁴ × 5¹ × 673¹

Step-3: Factors of 53824

List of positive integer factors of 53824 that divides 53824 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 841, 928, 1682, 1856, 3364, 6728, 13456, 26912

Step-4: Factors of 53840

List of positive integer factors of 53840 that divides 53824 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 673, 1346, 2692, 3365, 5384, 6730, 10768, 13460, 26920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53824 and 53840. The biggest common factor number is the GCF number.
So the greatest common factor 53824 and 53840 is 16.

Also check out the Least Common Multiple of 53824 and 53840