What is the Greatest Common Factor of 69765 and 69775?

Greatest common factor (GCF) of 69765 and 69775 is 5.

GCF(69765,69775) = 5

We will now calculate the prime factors of 69765 and 69775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69765 and 69775.

How to find the GCF of 69765 and 69775?

We will first find the prime factorization of 69765 and 69775. After we will calculate the factors of 69765 and 69775 and find the biggest common factor number .

Step-1: Prime Factorization of 69765

Prime factors of 69765 are 3, 5, 4651. Prime factorization of 69765 in exponential form is:

69765 = 3¹ × 5¹ × 4651¹

Step-2: Prime Factorization of 69775

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

69775 = 5² × 2791¹

Step-3: Factors of 69765

List of positive integer factors of 69765 that divides 69765 without a remainder.

1, 3, 5, 15, 4651, 13953, 23255

Step-4: Factors of 69775

List of positive integer factors of 69775 that divides 69765 without a remainder.

1, 5, 25, 2791, 13955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69765 and 69775. The biggest common factor number is the GCF number.
So the greatest common factor 69765 and 69775 is 5.

Also check out the Least Common Multiple of 69765 and 69775