What is the Greatest Common Factor of 69508 and 69526?

Greatest common factor (GCF) of 69508 and 69526 is 2.

GCF(69508,69526) = 2

We will now calculate the prime factors of 69508 and 69526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69508 and 69526.

How to find the GCF of 69508 and 69526?

We will first find the prime factorization of 69508 and 69526. After we will calculate the factors of 69508 and 69526 and find the biggest common factor number .

Step-1: Prime Factorization of 69508

Prime factors of 69508 are 2, 17377. Prime factorization of 69508 in exponential form is:

69508 = 2² × 17377¹

Step-2: Prime Factorization of 69526

Prime factors of 69526 are 2, 34763. Prime factorization of 69526 in exponential form is:

69526 = 2¹ × 34763¹

Step-3: Factors of 69508

List of positive integer factors of 69508 that divides 69508 without a remainder.

1, 2, 4, 17377, 34754

Step-4: Factors of 69526

List of positive integer factors of 69526 that divides 69508 without a remainder.

1, 2, 34763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69508 and 69526. The biggest common factor number is the GCF number.
So the greatest common factor 69508 and 69526 is 2.

Also check out the Least Common Multiple of 69508 and 69526