What is the Greatest Common Factor of 69278 and 69289?

Greatest common factor (GCF) of 69278 and 69289 is 11.

GCF(69278,69289) = 11

We will now calculate the prime factors of 69278 and 69289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69278 and 69289.

How to find the GCF of 69278 and 69289?

We will first find the prime factorization of 69278 and 69289. After we will calculate the factors of 69278 and 69289 and find the biggest common factor number .

Step-1: Prime Factorization of 69278

Prime factors of 69278 are 2, 11, 47, 67. Prime factorization of 69278 in exponential form is:

69278 = 2¹ × 11¹ × 47¹ × 67¹

Step-2: Prime Factorization of 69289

Prime factors of 69289 are 11, 6299. Prime factorization of 69289 in exponential form is:

69289 = 11¹ × 6299¹

Step-3: Factors of 69278

List of positive integer factors of 69278 that divides 69278 without a remainder.

1, 2, 11, 22, 47, 67, 94, 134, 517, 737, 1034, 1474, 3149, 6298, 34639

Step-4: Factors of 69289

List of positive integer factors of 69289 that divides 69278 without a remainder.

1, 11, 6299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69278 and 69289. The biggest common factor number is the GCF number.
So the greatest common factor 69278 and 69289 is 11.

Also check out the Least Common Multiple of 69278 and 69289