What is the Greatest Common Factor of 69278 and 69291?

Greatest common factor (GCF) of 69278 and 69291 is 1.

GCF(69278,69291) = 1

We will now calculate the prime factors of 69278 and 69291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69278 and 69291.

How to find the GCF of 69278 and 69291?

We will first find the prime factorization of 69278 and 69291. After we will calculate the factors of 69278 and 69291 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 69291

Prime factors of 69291 are 3, 7699. Prime factorization of 69291 in exponential form is:

69291 = 3² × 7699¹

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 69291

List of positive integer factors of 69291 that divides 69278 without a remainder.

1, 3, 9, 7699, 23097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69278 and 69291. The biggest common factor number is the GCF number.
So the greatest common factor 69278 and 69291 is 1.

Also check out the Least Common Multiple of 69278 and 69291