What is the Greatest Common Factor of 69016 and 69036?

Greatest common factor (GCF) of 69016 and 69036 is 4.

GCF(69016,69036) = 4

We will now calculate the prime factors of 69016 and 69036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69016 and 69036.

How to find the GCF of 69016 and 69036?

We will first find the prime factorization of 69016 and 69036. After we will calculate the factors of 69016 and 69036 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 69036

Prime factors of 69036 are 2, 3, 11, 523. Prime factorization of 69036 in exponential form is:

69036 = 2² × 3¹ × 11¹ × 523¹

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 69036

List of positive integer factors of 69036 that divides 69016 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 523, 1046, 1569, 2092, 3138, 5753, 6276, 11506, 17259, 23012, 34518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69016 and 69036. The biggest common factor number is the GCF number.
So the greatest common factor 69016 and 69036 is 4.

Also check out the Least Common Multiple of 69016 and 69036