What is the Greatest Common Factor of 68538 and 68552?

Greatest common factor (GCF) of 68538 and 68552 is 2.

GCF(68538,68552) = 2

We will now calculate the prime factors of 68538 and 68552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68538 and 68552.

How to find the GCF of 68538 and 68552?

We will first find the prime factorization of 68538 and 68552. After we will calculate the factors of 68538 and 68552 and find the biggest common factor number .

Step-1: Prime Factorization of 68538

Prime factors of 68538 are 2, 3, 11423. Prime factorization of 68538 in exponential form is:

68538 = 2¹ × 3¹ × 11423¹

Step-2: Prime Factorization of 68552

Prime factors of 68552 are 2, 11, 19, 41. Prime factorization of 68552 in exponential form is:

68552 = 2³ × 11¹ × 19¹ × 41¹

Step-3: Factors of 68538

List of positive integer factors of 68538 that divides 68538 without a remainder.

1, 2, 3, 6, 11423, 22846, 34269

Step-4: Factors of 68552

List of positive integer factors of 68552 that divides 68538 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 41, 44, 76, 82, 88, 152, 164, 209, 328, 418, 451, 779, 836, 902, 1558, 1672, 1804, 3116, 3608, 6232, 8569, 17138, 34276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68538 and 68552. The biggest common factor number is the GCF number.
So the greatest common factor 68538 and 68552 is 2.

Also check out the Least Common Multiple of 68538 and 68552