What is the Greatest Common Factor of 69016 and 69022?

Greatest common factor (GCF) of 69016 and 69022 is 2.

GCF(69016,69022) = 2

We will now calculate the prime factors of 69016 and 69022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69016 and 69022.

How to find the GCF of 69016 and 69022?

We will first find the prime factorization of 69016 and 69022. After we will calculate the factors of 69016 and 69022 and find the biggest common factor number .

Step-1: Prime Factorization of 69016

Prime factors of 69016 are 2, 8627. Prime factorization of 69016 in exponential form is:

69016 = 2³ × 8627¹

Step-2: Prime Factorization of 69022

Prime factors of 69022 are 2, 34511. Prime factorization of 69022 in exponential form is:

69022 = 2¹ × 34511¹

Step-3: Factors of 69016

List of positive integer factors of 69016 that divides 69016 without a remainder.

1, 2, 4, 8, 8627, 17254, 34508

Step-4: Factors of 69022

List of positive integer factors of 69022 that divides 69016 without a remainder.

1, 2, 34511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69016 and 69022. The biggest common factor number is the GCF number.
So the greatest common factor 69016 and 69022 is 2.

Also check out the Least Common Multiple of 69016 and 69022