What is the Greatest Common Factor of 69256 and 69270?

Greatest common factor (GCF) of 69256 and 69270 is 2.

GCF(69256,69270) = 2

We will now calculate the prime factors of 69256 and 69270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69256 and 69270.

How to find the GCF of 69256 and 69270?

We will first find the prime factorization of 69256 and 69270. After we will calculate the factors of 69256 and 69270 and find the biggest common factor number .

Step-1: Prime Factorization of 69256

Prime factors of 69256 are 2, 11, 787. Prime factorization of 69256 in exponential form is:

69256 = 2³ × 11¹ × 787¹

Step-2: Prime Factorization of 69270

Prime factors of 69270 are 2, 3, 5, 2309. Prime factorization of 69270 in exponential form is:

69270 = 2¹ × 3¹ × 5¹ × 2309¹

Step-3: Factors of 69256

List of positive integer factors of 69256 that divides 69256 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 787, 1574, 3148, 6296, 8657, 17314, 34628

Step-4: Factors of 69270

List of positive integer factors of 69270 that divides 69256 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2309, 4618, 6927, 11545, 13854, 23090, 34635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69256 and 69270. The biggest common factor number is the GCF number.
So the greatest common factor 69256 and 69270 is 2.

Also check out the Least Common Multiple of 69256 and 69270