What is the Greatest Common Factor of 69775 and 69795?

Greatest common factor (GCF) of 69775 and 69795 is 5.

GCF(69775,69795) = 5

We will now calculate the prime factors of 69775 and 69795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69775 and 69795.

How to find the GCF of 69775 and 69795?

We will first find the prime factorization of 69775 and 69795. After we will calculate the factors of 69775 and 69795 and find the biggest common factor number .

Step-1: Prime Factorization of 69775

Prime factors of 69775 are 5, 2791. Prime factorization of 69775 in exponential form is:

69775 = 5² × 2791¹

Step-2: Prime Factorization of 69795

Prime factors of 69795 are 3, 5, 11, 47. Prime factorization of 69795 in exponential form is:

69795 = 3³ × 5¹ × 11¹ × 47¹

Step-3: Factors of 69775

List of positive integer factors of 69775 that divides 69775 without a remainder.

1, 5, 25, 2791, 13955

Step-4: Factors of 69795

List of positive integer factors of 69795 that divides 69775 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 47, 55, 99, 135, 141, 165, 235, 297, 423, 495, 517, 705, 1269, 1485, 1551, 2115, 2585, 4653, 6345, 7755, 13959, 23265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69775 and 69795. The biggest common factor number is the GCF number.
So the greatest common factor 69775 and 69795 is 5.

Also check out the Least Common Multiple of 69775 and 69795