What is the Greatest Common Factor of 69376 and 69384?

Greatest common factor (GCF) of 69376 and 69384 is 8.

GCF(69376,69384) = 8

We will now calculate the prime factors of 69376 and 69384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69376 and 69384.

How to find the GCF of 69376 and 69384?

We will first find the prime factorization of 69376 and 69384. After we will calculate the factors of 69376 and 69384 and find the biggest common factor number .

Step-1: Prime Factorization of 69376

Prime factors of 69376 are 2, 271. Prime factorization of 69376 in exponential form is:

69376 = 2⁸ × 271¹

Step-2: 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-3: Factors of 69376

List of positive integer factors of 69376 that divides 69376 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 271, 542, 1084, 2168, 4336, 8672, 17344, 34688

Step-4: Factors of 69384

List of positive integer factors of 69384 that divides 69376 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69376 and 69384. The biggest common factor number is the GCF number.
So the greatest common factor 69376 and 69384 is 8.

Also check out the Least Common Multiple of 69376 and 69384