What is the Greatest Common Factor of 69424 and 69438?

Greatest common factor (GCF) of 69424 and 69438 is 2.

GCF(69424,69438) = 2

We will now calculate the prime factors of 69424 and 69438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69424 and 69438.

How to find the GCF of 69424 and 69438?

We will first find the prime factorization of 69424 and 69438. After we will calculate the factors of 69424 and 69438 and find the biggest common factor number .

Step-1: Prime Factorization of 69424

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

69424 = 2⁴ × 4339¹

Step-2: Prime Factorization of 69438

Prime factors of 69438 are 2, 3, 71, 163. Prime factorization of 69438 in exponential form is:

69438 = 2¹ × 3¹ × 71¹ × 163¹

Step-3: Factors of 69424

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

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

Step-4: Factors of 69438

List of positive integer factors of 69438 that divides 69424 without a remainder.

1, 2, 3, 6, 71, 142, 163, 213, 326, 426, 489, 978, 11573, 23146, 34719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69424 and 69438. The biggest common factor number is the GCF number.
So the greatest common factor 69424 and 69438 is 2.

Also check out the Least Common Multiple of 69424 and 69438