What is the Greatest Common Factor of 69500 and 69505?

Greatest common factor (GCF) of 69500 and 69505 is 5.

GCF(69500,69505) = 5

We will now calculate the prime factors of 69500 and 69505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69500 and 69505.

How to find the GCF of 69500 and 69505?

We will first find the prime factorization of 69500 and 69505. After we will calculate the factors of 69500 and 69505 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 69505

Prime factors of 69505 are 5, 13901. Prime factorization of 69505 in exponential form is:

69505 = 5¹ × 13901¹

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 69505

List of positive integer factors of 69505 that divides 69500 without a remainder.

1, 5, 13901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69500 and 69505. The biggest common factor number is the GCF number.
So the greatest common factor 69500 and 69505 is 5.

Also check out the Least Common Multiple of 69500 and 69505