What is the Greatest Common Factor of 69335 and 69342?

Greatest common factor (GCF) of 69335 and 69342 is 7.

GCF(69335,69342) = 7

We will now calculate the prime factors of 69335 and 69342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69335 and 69342.

How to find the GCF of 69335 and 69342?

We will first find the prime factorization of 69335 and 69342. After we will calculate the factors of 69335 and 69342 and find the biggest common factor number .

Step-1: Prime Factorization of 69335

Prime factors of 69335 are 5, 7, 283. Prime factorization of 69335 in exponential form is:

69335 = 5¹ × 7² × 283¹

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 69335

List of positive integer factors of 69335 that divides 69335 without a remainder.

1, 5, 7, 35, 49, 245, 283, 1415, 1981, 9905, 13867

Step-4: Factors of 69342

List of positive integer factors of 69342 that divides 69335 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 69335 and 69342. The biggest common factor number is the GCF number.
So the greatest common factor 69335 and 69342 is 7.

Also check out the Least Common Multiple of 69335 and 69342