What is the Greatest Common Factor of 69342 and 69354?

Greatest common factor (GCF) of 69342 and 69354 is 6.

GCF(69342,69354) = 6

We will now calculate the prime factors of 69342 and 69354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69342 and 69354.

How to find the GCF of 69342 and 69354?

We will first find the prime factorization of 69342 and 69354. After we will calculate the factors of 69342 and 69354 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69354

Prime factors of 69354 are 2, 3, 3853. Prime factorization of 69354 in exponential form is:

69354 = 2¹ × 3² × 3853¹

Step-3: Factors of 69342

List of positive integer factors of 69342 that divides 69342 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

Step-4: Factors of 69354

List of positive integer factors of 69354 that divides 69342 without a remainder.

1, 2, 3, 6, 9, 18, 3853, 7706, 11559, 23118, 34677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69342 and 69354. The biggest common factor number is the GCF number.
So the greatest common factor 69342 and 69354 is 6.

Also check out the Least Common Multiple of 69342 and 69354