What is the Greatest Common Factor of 69038 and 69042?

Greatest common factor (GCF) of 69038 and 69042 is 2.

GCF(69038,69042) = 2

We will now calculate the prime factors of 69038 and 69042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69038 and 69042.

How to find the GCF of 69038 and 69042?

We will first find the prime factorization of 69038 and 69042. After we will calculate the factors of 69038 and 69042 and find the biggest common factor number .

Step-1: Prime Factorization of 69038

Prime factors of 69038 are 2, 34519. Prime factorization of 69038 in exponential form is:

69038 = 2¹ × 34519¹

Step-2: Prime Factorization of 69042

Prime factors of 69042 are 2, 3, 37, 311. Prime factorization of 69042 in exponential form is:

69042 = 2¹ × 3¹ × 37¹ × 311¹

Step-3: Factors of 69038

List of positive integer factors of 69038 that divides 69038 without a remainder.

1, 2, 34519

Step-4: Factors of 69042

List of positive integer factors of 69042 that divides 69038 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 311, 622, 933, 1866, 11507, 23014, 34521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69038 and 69042. The biggest common factor number is the GCF number.
So the greatest common factor 69038 and 69042 is 2.

Also check out the Least Common Multiple of 69038 and 69042