What is the Greatest Common Factor of 69678 and 69689?

Greatest common factor (GCF) of 69678 and 69689 is 1.

GCF(69678,69689) = 1

We will now calculate the prime factors of 69678 and 69689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69678 and 69689.

How to find the GCF of 69678 and 69689?

We will first find the prime factorization of 69678 and 69689. After we will calculate the factors of 69678 and 69689 and find the biggest common factor number .

Step-1: Prime Factorization of 69678

Prime factors of 69678 are 2, 3, 7, 79. Prime factorization of 69678 in exponential form is:

69678 = 2¹ × 3² × 7² × 79¹

Step-2: Prime Factorization of 69689

Prime factors of 69689 are 227, 307. Prime factorization of 69689 in exponential form is:

69689 = 227¹ × 307¹

Step-3: Factors of 69678

List of positive integer factors of 69678 that divides 69678 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 79, 98, 126, 147, 158, 237, 294, 441, 474, 553, 711, 882, 1106, 1422, 1659, 3318, 3871, 4977, 7742, 9954, 11613, 23226, 34839

Step-4: Factors of 69689

List of positive integer factors of 69689 that divides 69678 without a remainder.

1, 227, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69678 and 69689. The biggest common factor number is the GCF number.
So the greatest common factor 69678 and 69689 is 1.

Also check out the Least Common Multiple of 69678 and 69689