What is the Greatest Common Factor of 68548 and 68562?

Greatest common factor (GCF) of 68548 and 68562 is 2.

GCF(68548,68562) = 2

We will now calculate the prime factors of 68548 and 68562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68548 and 68562.

How to find the GCF of 68548 and 68562?

We will first find the prime factorization of 68548 and 68562. After we will calculate the factors of 68548 and 68562 and find the biggest common factor number .

Step-1: Prime Factorization of 68548

Prime factors of 68548 are 2, 17137. Prime factorization of 68548 in exponential form is:

68548 = 2² × 17137¹

Step-2: Prime Factorization of 68562

Prime factors of 68562 are 2, 3, 13, 293. Prime factorization of 68562 in exponential form is:

68562 = 2¹ × 3² × 13¹ × 293¹

Step-3: Factors of 68548

List of positive integer factors of 68548 that divides 68548 without a remainder.

1, 2, 4, 17137, 34274

Step-4: Factors of 68562

List of positive integer factors of 68562 that divides 68548 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 293, 586, 879, 1758, 2637, 3809, 5274, 7618, 11427, 22854, 34281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68548 and 68562. The biggest common factor number is the GCF number.
So the greatest common factor 68548 and 68562 is 2.

Also check out the Least Common Multiple of 68548 and 68562