What is the Greatest Common Factor of 69041 and 69058?

Greatest common factor (GCF) of 69041 and 69058 is 1.

GCF(69041,69058) = 1

We will now calculate the prime factors of 69041 and 69058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69041 and 69058.

How to find the GCF of 69041 and 69058?

We will first find the prime factorization of 69041 and 69058. After we will calculate the factors of 69041 and 69058 and find the biggest common factor number .

Step-1: Prime Factorization of 69041

Prime factors of 69041 are 7, 1409. Prime factorization of 69041 in exponential form is:

69041 = 7² × 1409¹

Step-2: Prime Factorization of 69058

Prime factors of 69058 are 2, 11, 43, 73. Prime factorization of 69058 in exponential form is:

69058 = 2¹ × 11¹ × 43¹ × 73¹

Step-3: Factors of 69041

List of positive integer factors of 69041 that divides 69041 without a remainder.

1, 7, 49, 1409, 9863

Step-4: Factors of 69058

List of positive integer factors of 69058 that divides 69041 without a remainder.

1, 2, 11, 22, 43, 73, 86, 146, 473, 803, 946, 1606, 3139, 6278, 34529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69041 and 69058. The biggest common factor number is the GCF number.
So the greatest common factor 69041 and 69058 is 1.

Also check out the Least Common Multiple of 69041 and 69058