What is the Greatest Common Factor of 69780 and 69789?

Greatest common factor (GCF) of 69780 and 69789 is 3.

GCF(69780,69789) = 3

We will now calculate the prime factors of 69780 and 69789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69780 and 69789.

How to find the GCF of 69780 and 69789?

We will first find the prime factorization of 69780 and 69789. After we will calculate the factors of 69780 and 69789 and find the biggest common factor number .

Step-1: Prime Factorization of 69780

Prime factors of 69780 are 2, 3, 5, 1163. Prime factorization of 69780 in exponential form is:

69780 = 2² × 3¹ × 5¹ × 1163¹

Step-2: Prime Factorization of 69789

Prime factors of 69789 are 3, 43, 541. Prime factorization of 69789 in exponential form is:

69789 = 3¹ × 43¹ × 541¹

Step-3: Factors of 69780

List of positive integer factors of 69780 that divides 69780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1163, 2326, 3489, 4652, 5815, 6978, 11630, 13956, 17445, 23260, 34890

Step-4: Factors of 69789

List of positive integer factors of 69789 that divides 69780 without a remainder.

1, 3, 43, 129, 541, 1623, 23263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69780 and 69789. The biggest common factor number is the GCF number.
So the greatest common factor 69780 and 69789 is 3.

Also check out the Least Common Multiple of 69780 and 69789