What is the Greatest Common Factor of 68542 and 68562?

Greatest common factor (GCF) of 68542 and 68562 is 2.

GCF(68542,68562) = 2

We will now calculate the prime factors of 68542 and 68562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68542 and 68562.

How to find the GCF of 68542 and 68562?

We will first find the prime factorization of 68542 and 68562. After we will calculate the factors of 68542 and 68562 and find the biggest common factor number .

Step-1: Prime Factorization of 68542

Prime factors of 68542 are 2, 43, 797. Prime factorization of 68542 in exponential form is:

68542 = 2¹ × 43¹ × 797¹

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 68542

List of positive integer factors of 68542 that divides 68542 without a remainder.

1, 2, 43, 86, 797, 1594, 34271

Step-4: Factors of 68562

List of positive integer factors of 68562 that divides 68542 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 68542 and 68562. The biggest common factor number is the GCF number.
So the greatest common factor 68542 and 68562 is 2.

Also check out the Least Common Multiple of 68542 and 68562