What is the Greatest Common Factor of 69760 and 69765?

Greatest common factor (GCF) of 69760 and 69765 is 5.

GCF(69760,69765) = 5

We will now calculate the prime factors of 69760 and 69765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69760 and 69765.

How to find the GCF of 69760 and 69765?

We will first find the prime factorization of 69760 and 69765. After we will calculate the factors of 69760 and 69765 and find the biggest common factor number .

Step-1: Prime Factorization of 69760

Prime factors of 69760 are 2, 5, 109. Prime factorization of 69760 in exponential form is:

69760 = 2⁷ × 5¹ × 109¹

Step-2: 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-3: Factors of 69760

List of positive integer factors of 69760 that divides 69760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 128, 160, 218, 320, 436, 545, 640, 872, 1090, 1744, 2180, 3488, 4360, 6976, 8720, 13952, 17440, 34880

Step-4: Factors of 69765

List of positive integer factors of 69765 that divides 69760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69760 and 69765. The biggest common factor number is the GCF number.
So the greatest common factor 69760 and 69765 is 5.

Also check out the Least Common Multiple of 69760 and 69765