What is the Greatest Common Factor of 69122 and 69141?

Greatest common factor (GCF) of 69122 and 69141 is 19.

GCF(69122,69141) = 19

We will now calculate the prime factors of 69122 and 69141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69122 and 69141.

How to find the GCF of 69122 and 69141?

We will first find the prime factorization of 69122 and 69141. After we will calculate the factors of 69122 and 69141 and find the biggest common factor number .

Step-1: Prime Factorization of 69122

Prime factors of 69122 are 2, 17, 19, 107. Prime factorization of 69122 in exponential form is:

69122 = 2¹ × 17¹ × 19¹ × 107¹

Step-2: Prime Factorization of 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 3¹ × 19¹ × 1213¹

Step-3: Factors of 69122

List of positive integer factors of 69122 that divides 69122 without a remainder.

1, 2, 17, 19, 34, 38, 107, 214, 323, 646, 1819, 2033, 3638, 4066, 34561

Step-4: Factors of 69141

List of positive integer factors of 69141 that divides 69122 without a remainder.

1, 3, 19, 57, 1213, 3639, 23047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69122 and 69141. The biggest common factor number is the GCF number.
So the greatest common factor 69122 and 69141 is 19.

Also check out the Least Common Multiple of 69122 and 69141