What is the Greatest Common Factor of 69588 and 69594?

Greatest common factor (GCF) of 69588 and 69594 is 6.

GCF(69588,69594) = 6

We will now calculate the prime factors of 69588 and 69594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69588 and 69594.

How to find the GCF of 69588 and 69594?

We will first find the prime factorization of 69588 and 69594. After we will calculate the factors of 69588 and 69594 and find the biggest common factor number .

Step-1: Prime Factorization of 69588

Prime factors of 69588 are 2, 3, 1933. Prime factorization of 69588 in exponential form is:

69588 = 2² × 3² × 1933¹

Step-2: Prime Factorization of 69594

Prime factors of 69594 are 2, 3, 7, 1657. Prime factorization of 69594 in exponential form is:

69594 = 2¹ × 3¹ × 7¹ × 1657¹

Step-3: Factors of 69588

List of positive integer factors of 69588 that divides 69588 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1933, 3866, 5799, 7732, 11598, 17397, 23196, 34794

Step-4: Factors of 69594

List of positive integer factors of 69594 that divides 69588 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1657, 3314, 4971, 9942, 11599, 23198, 34797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69588 and 69594. The biggest common factor number is the GCF number.
So the greatest common factor 69588 and 69594 is 6.

Also check out the Least Common Multiple of 69588 and 69594