What is the Greatest Common Factor of 69240 and 69252?

Greatest common factor (GCF) of 69240 and 69252 is 12.

GCF(69240,69252) = 12

We will now calculate the prime factors of 69240 and 69252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69240 and 69252.

How to find the GCF of 69240 and 69252?

We will first find the prime factorization of 69240 and 69252. After we will calculate the factors of 69240 and 69252 and find the biggest common factor number .

Step-1: Prime Factorization of 69240

Prime factors of 69240 are 2, 3, 5, 577. Prime factorization of 69240 in exponential form is:

69240 = 2³ × 3¹ × 5¹ × 577¹

Step-2: Prime Factorization of 69252

Prime factors of 69252 are 2, 3, 29, 199. Prime factorization of 69252 in exponential form is:

69252 = 2² × 3¹ × 29¹ × 199¹

Step-3: Factors of 69240

List of positive integer factors of 69240 that divides 69240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 577, 1154, 1731, 2308, 2885, 3462, 4616, 5770, 6924, 8655, 11540, 13848, 17310, 23080, 34620

Step-4: Factors of 69252

List of positive integer factors of 69252 that divides 69240 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 199, 348, 398, 597, 796, 1194, 2388, 5771, 11542, 17313, 23084, 34626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69240 and 69252. The biggest common factor number is the GCF number.
So the greatest common factor 69240 and 69252 is 12.

Also check out the Least Common Multiple of 69240 and 69252