What is the Greatest Common Factor of 69500 and 69504?

Greatest common factor (GCF) of 69500 and 69504 is 4.

GCF(69500,69504) = 4

We will now calculate the prime factors of 69500 and 69504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69500 and 69504.

How to find the GCF of 69500 and 69504?

We will first find the prime factorization of 69500 and 69504. After we will calculate the factors of 69500 and 69504 and find the biggest common factor number .

Step-1: Prime Factorization of 69500

Prime factors of 69500 are 2, 5, 139. Prime factorization of 69500 in exponential form is:

69500 = 2² × 5³ × 139¹

Step-2: 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-3: Factors of 69500

List of positive integer factors of 69500 that divides 69500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 139, 250, 278, 500, 556, 695, 1390, 2780, 3475, 6950, 13900, 17375, 34750

Step-4: Factors of 69504

List of positive integer factors of 69504 that divides 69500 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69500 and 69504. The biggest common factor number is the GCF number.
So the greatest common factor 69500 and 69504 is 4.

Also check out the Least Common Multiple of 69500 and 69504