What is the Greatest Common Factor of 69328 and 69342?

Greatest common factor (GCF) of 69328 and 69342 is 14.

GCF(69328,69342) = 14

We will now calculate the prime factors of 69328 and 69342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69328 and 69342.

How to find the GCF of 69328 and 69342?

We will first find the prime factorization of 69328 and 69342. After we will calculate the factors of 69328 and 69342 and find the biggest common factor number .

Step-1: Prime Factorization of 69328

Prime factors of 69328 are 2, 7, 619. Prime factorization of 69328 in exponential form is:

69328 = 2⁴ × 7¹ × 619¹

Step-2: Prime Factorization of 69342

Prime factors of 69342 are 2, 3, 7, 13, 127. Prime factorization of 69342 in exponential form is:

69342 = 2¹ × 3¹ × 7¹ × 13¹ × 127¹

Step-3: Factors of 69328

List of positive integer factors of 69328 that divides 69328 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 619, 1238, 2476, 4333, 4952, 8666, 9904, 17332, 34664

Step-4: Factors of 69342

List of positive integer factors of 69342 that divides 69328 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 127, 182, 254, 273, 381, 546, 762, 889, 1651, 1778, 2667, 3302, 4953, 5334, 9906, 11557, 23114, 34671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69328 and 69342. The biggest common factor number is the GCF number.
So the greatest common factor 69328 and 69342 is 14.

Also check out the Least Common Multiple of 69328 and 69342