What is the Greatest Common Factor of 69690 and 69705?

Greatest common factor (GCF) of 69690 and 69705 is 15.

GCF(69690,69705) = 15

We will now calculate the prime factors of 69690 and 69705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69690 and 69705.

How to find the GCF of 69690 and 69705?

We will first find the prime factorization of 69690 and 69705. After we will calculate the factors of 69690 and 69705 and find the biggest common factor number .

Step-1: Prime Factorization of 69690

Prime factors of 69690 are 2, 3, 5, 23, 101. Prime factorization of 69690 in exponential form is:

69690 = 2¹ × 3¹ × 5¹ × 23¹ × 101¹

Step-2: Prime Factorization of 69705

Prime factors of 69705 are 3, 5, 1549. Prime factorization of 69705 in exponential form is:

69705 = 3² × 5¹ × 1549¹

Step-3: Factors of 69690

List of positive integer factors of 69690 that divides 69690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 101, 115, 138, 202, 230, 303, 345, 505, 606, 690, 1010, 1515, 2323, 3030, 4646, 6969, 11615, 13938, 23230, 34845

Step-4: Factors of 69705

List of positive integer factors of 69705 that divides 69690 without a remainder.

1, 3, 5, 9, 15, 45, 1549, 4647, 7745, 13941, 23235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69690 and 69705. The biggest common factor number is the GCF number.
So the greatest common factor 69690 and 69705 is 15.

Also check out the Least Common Multiple of 69690 and 69705