What is the Greatest Common Factor of 69408 and 69424?

Greatest common factor (GCF) of 69408 and 69424 is 16.

GCF(69408,69424) = 16

We will now calculate the prime factors of 69408 and 69424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69408 and 69424.

How to find the GCF of 69408 and 69424?

We will first find the prime factorization of 69408 and 69424. After we will calculate the factors of 69408 and 69424 and find the biggest common factor number .

Step-1: Prime Factorization of 69408

Prime factors of 69408 are 2, 3, 241. Prime factorization of 69408 in exponential form is:

69408 = 2⁵ × 3² × 241¹

Step-2: Prime Factorization of 69424

Prime factors of 69424 are 2, 4339. Prime factorization of 69424 in exponential form is:

69424 = 2⁴ × 4339¹

Step-3: Factors of 69408

List of positive integer factors of 69408 that divides 69408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 241, 288, 482, 723, 964, 1446, 1928, 2169, 2892, 3856, 4338, 5784, 7712, 8676, 11568, 17352, 23136, 34704

Step-4: Factors of 69424

List of positive integer factors of 69424 that divides 69408 without a remainder.

1, 2, 4, 8, 16, 4339, 8678, 17356, 34712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69408 and 69424. The biggest common factor number is the GCF number.
So the greatest common factor 69408 and 69424 is 16.

Also check out the Least Common Multiple of 69408 and 69424