What is the Greatest Common Factor of 67636 and 67642?

Greatest common factor (GCF) of 67636 and 67642 is 2.

GCF(67636,67642) = 2

We will now calculate the prime factors of 67636 and 67642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67636 and 67642.

How to find the GCF of 67636 and 67642?

We will first find the prime factorization of 67636 and 67642. After we will calculate the factors of 67636 and 67642 and find the biggest common factor number .

Step-1: Prime Factorization of 67636

Prime factors of 67636 are 2, 37, 457. Prime factorization of 67636 in exponential form is:

67636 = 2² × 37¹ × 457¹

Step-2: Prime Factorization of 67642

Prime factors of 67642 are 2, 31, 1091. Prime factorization of 67642 in exponential form is:

67642 = 2¹ × 31¹ × 1091¹

Step-3: Factors of 67636

List of positive integer factors of 67636 that divides 67636 without a remainder.

1, 2, 4, 37, 74, 148, 457, 914, 1828, 16909, 33818

Step-4: Factors of 67642

List of positive integer factors of 67642 that divides 67636 without a remainder.

1, 2, 31, 62, 1091, 2182, 33821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67636 and 67642. The biggest common factor number is the GCF number.
So the greatest common factor 67636 and 67642 is 2.

Also check out the Least Common Multiple of 67636 and 67642