What is the Greatest Common Factor of 69512 and 69518?

Greatest common factor (GCF) of 69512 and 69518 is 2.

GCF(69512,69518) = 2

We will now calculate the prime factors of 69512 and 69518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69512 and 69518.

How to find the GCF of 69512 and 69518?

We will first find the prime factorization of 69512 and 69518. After we will calculate the factors of 69512 and 69518 and find the biggest common factor number .

Step-1: Prime Factorization of 69512

Prime factors of 69512 are 2, 8689. Prime factorization of 69512 in exponential form is:

69512 = 2³ × 8689¹

Step-2: Prime Factorization of 69518

Prime factors of 69518 are 2, 34759. Prime factorization of 69518 in exponential form is:

69518 = 2¹ × 34759¹

Step-3: Factors of 69512

List of positive integer factors of 69512 that divides 69512 without a remainder.

1, 2, 4, 8, 8689, 17378, 34756

Step-4: Factors of 69518

List of positive integer factors of 69518 that divides 69512 without a remainder.

1, 2, 34759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69512 and 69518. The biggest common factor number is the GCF number.
So the greatest common factor 69512 and 69518 is 2.

Also check out the Least Common Multiple of 69512 and 69518