What is the Greatest Common Factor of 69252 and 69266?

Greatest common factor (GCF) of 69252 and 69266 is 2.

GCF(69252,69266) = 2

We will now calculate the prime factors of 69252 and 69266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69252 and 69266.

How to find the GCF of 69252 and 69266?

We will first find the prime factorization of 69252 and 69266. After we will calculate the factors of 69252 and 69266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69266

Prime factors of 69266 are 2, 59, 587. Prime factorization of 69266 in exponential form is:

69266 = 2¹ × 59¹ × 587¹

Step-3: Factors of 69252

List of positive integer factors of 69252 that divides 69252 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

Step-4: Factors of 69266

List of positive integer factors of 69266 that divides 69252 without a remainder.

1, 2, 59, 118, 587, 1174, 34633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69252 and 69266. The biggest common factor number is the GCF number.
So the greatest common factor 69252 and 69266 is 2.

Also check out the Least Common Multiple of 69252 and 69266