What is the Greatest Common Factor of 69054 and 69064?

Greatest common factor (GCF) of 69054 and 69064 is 2.

GCF(69054,69064) = 2

We will now calculate the prime factors of 69054 and 69064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69054 and 69064.

How to find the GCF of 69054 and 69064?

We will first find the prime factorization of 69054 and 69064. After we will calculate the factors of 69054 and 69064 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69064

Prime factors of 69064 are 2, 89, 97. Prime factorization of 69064 in exponential form is:

69064 = 2³ × 89¹ × 97¹

Step-3: Factors of 69054

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

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

Step-4: Factors of 69064

List of positive integer factors of 69064 that divides 69054 without a remainder.

1, 2, 4, 8, 89, 97, 178, 194, 356, 388, 712, 776, 8633, 17266, 34532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69054 and 69064. The biggest common factor number is the GCF number.
So the greatest common factor 69054 and 69064 is 2.

Also check out the Least Common Multiple of 69054 and 69064