What is the Greatest Common Factor of 69504 and 69519?

Greatest common factor (GCF) of 69504 and 69519 is 3.

GCF(69504,69519) = 3

We will now calculate the prime factors of 69504 and 69519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69504 and 69519.

How to find the GCF of 69504 and 69519?

We will first find the prime factorization of 69504 and 69519. After we will calculate the factors of 69504 and 69519 and find the biggest common factor number .

Step-1: Prime Factorization of 69504

Prime factors of 69504 are 2, 3, 181. Prime factorization of 69504 in exponential form is:

69504 = 2⁷ × 3¹ × 181¹

Step-2: Prime Factorization of 69519

Prime factors of 69519 are 3, 23173. Prime factorization of 69519 in exponential form is:

69519 = 3¹ × 23173¹

Step-3: Factors of 69504

List of positive integer factors of 69504 that divides 69504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 181, 192, 362, 384, 543, 724, 1086, 1448, 2172, 2896, 4344, 5792, 8688, 11584, 17376, 23168, 34752

Step-4: Factors of 69519

List of positive integer factors of 69519 that divides 69504 without a remainder.

1, 3, 23173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69504 and 69519. The biggest common factor number is the GCF number.
So the greatest common factor 69504 and 69519 is 3.

Also check out the Least Common Multiple of 69504 and 69519