What is the Greatest Common Factor of 69642 and 69660?

Greatest common factor (GCF) of 69642 and 69660 is 18.

GCF(69642,69660) = 18

We will now calculate the prime factors of 69642 and 69660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69642 and 69660.

How to find the GCF of 69642 and 69660?

We will first find the prime factorization of 69642 and 69660. After we will calculate the factors of 69642 and 69660 and find the biggest common factor number .

Step-1: Prime Factorization of 69642

Prime factors of 69642 are 2, 3, 53, 73. Prime factorization of 69642 in exponential form is:

69642 = 2¹ × 3² × 53¹ × 73¹

Step-2: Prime Factorization of 69660

Prime factors of 69660 are 2, 3, 5, 43. Prime factorization of 69660 in exponential form is:

69660 = 2² × 3⁴ × 5¹ × 43¹

Step-3: Factors of 69642

List of positive integer factors of 69642 that divides 69642 without a remainder.

1, 2, 3, 6, 9, 18, 53, 73, 106, 146, 159, 219, 318, 438, 477, 657, 954, 1314, 3869, 7738, 11607, 23214, 34821

Step-4: Factors of 69660

List of positive integer factors of 69660 that divides 69642 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 43, 45, 54, 60, 81, 86, 90, 108, 129, 135, 162, 172, 180, 215, 258, 270, 324, 387, 405, 430, 516, 540, 645, 774, 810, 860, 1161, 1290, 1548, 1620, 1935, 2322, 2580, 3483, 3870, 4644, 5805, 6966, 7740, 11610, 13932, 17415, 23220, 34830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69642 and 69660. The biggest common factor number is the GCF number.
So the greatest common factor 69642 and 69660 is 18.

Also check out the Least Common Multiple of 69642 and 69660