What is the Greatest Common Factor of 69384 and 69404?

Greatest common factor (GCF) of 69384 and 69404 is 4.

GCF(69384,69404) = 4

We will now calculate the prime factors of 69384 and 69404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69384 and 69404.

How to find the GCF of 69384 and 69404?

We will first find the prime factorization of 69384 and 69404. After we will calculate the factors of 69384 and 69404 and find the biggest common factor number .

Step-1: Prime Factorization of 69384

Prime factors of 69384 are 2, 3, 7, 59. Prime factorization of 69384 in exponential form is:

69384 = 2³ × 3¹ × 7² × 59¹

Step-2: Prime Factorization of 69404

Prime factors of 69404 are 2, 17351. Prime factorization of 69404 in exponential form is:

69404 = 2² × 17351¹

Step-3: Factors of 69384

List of positive integer factors of 69384 that divides 69384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 59, 84, 98, 118, 147, 168, 177, 196, 236, 294, 354, 392, 413, 472, 588, 708, 826, 1176, 1239, 1416, 1652, 2478, 2891, 3304, 4956, 5782, 8673, 9912, 11564, 17346, 23128, 34692

Step-4: Factors of 69404

List of positive integer factors of 69404 that divides 69384 without a remainder.

1, 2, 4, 17351, 34702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69384 and 69404. The biggest common factor number is the GCF number.
So the greatest common factor 69384 and 69404 is 4.

Also check out the Least Common Multiple of 69384 and 69404