What is the Greatest Common Factor of 69036 and 69054?

Greatest common factor (GCF) of 69036 and 69054 is 6.

GCF(69036,69054) = 6

We will now calculate the prime factors of 69036 and 69054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69036 and 69054.

How to find the GCF of 69036 and 69054?

We will first find the prime factorization of 69036 and 69054. After we will calculate the factors of 69036 and 69054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69054

Prime factors of 69054 are 2, 3, 17, 677. Prime factorization of 69054 in exponential form is:

69054 = 2¹ × 3¹ × 17¹ × 677¹

Step-3: Factors of 69036

List of positive integer factors of 69036 that divides 69036 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

Step-4: Factors of 69054

List of positive integer factors of 69054 that divides 69036 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 677, 1354, 2031, 4062, 11509, 23018, 34527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69036 and 69054. The biggest common factor number is the GCF number.
So the greatest common factor 69036 and 69054 is 6.

Also check out the Least Common Multiple of 69036 and 69054