What is the Greatest Common Factor of 68536 and 68549?

Greatest common factor (GCF) of 68536 and 68549 is 13.

GCF(68536,68549) = 13

We will now calculate the prime factors of 68536 and 68549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68536 and 68549.

How to find the GCF of 68536 and 68549?

We will first find the prime factorization of 68536 and 68549. After we will calculate the factors of 68536 and 68549 and find the biggest common factor number .

Step-1: Prime Factorization of 68536

Prime factors of 68536 are 2, 13, 659. Prime factorization of 68536 in exponential form is:

68536 = 2³ × 13¹ × 659¹

Step-2: Prime Factorization of 68549

Prime factors of 68549 are 13, 5273. Prime factorization of 68549 in exponential form is:

68549 = 13¹ × 5273¹

Step-3: Factors of 68536

List of positive integer factors of 68536 that divides 68536 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 659, 1318, 2636, 5272, 8567, 17134, 34268

Step-4: Factors of 68549

List of positive integer factors of 68549 that divides 68536 without a remainder.

1, 13, 5273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68536 and 68549. The biggest common factor number is the GCF number.
So the greatest common factor 68536 and 68549 is 13.

Also check out the Least Common Multiple of 68536 and 68549