What is the Greatest Common Factor of 67758 and 67772?

Greatest common factor (GCF) of 67758 and 67772 is 2.

GCF(67758,67772) = 2

We will now calculate the prime factors of 67758 and 67772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67758 and 67772.

How to find the GCF of 67758 and 67772?

We will first find the prime factorization of 67758 and 67772. After we will calculate the factors of 67758 and 67772 and find the biggest common factor number .

Step-1: Prime Factorization of 67758

Prime factors of 67758 are 2, 3, 23, 491. Prime factorization of 67758 in exponential form is:

67758 = 2¹ × 3¹ × 23¹ × 491¹

Step-2: Prime Factorization of 67772

Prime factors of 67772 are 2, 16943. Prime factorization of 67772 in exponential form is:

67772 = 2² × 16943¹

Step-3: Factors of 67758

List of positive integer factors of 67758 that divides 67758 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 491, 982, 1473, 2946, 11293, 22586, 33879

Step-4: Factors of 67772

List of positive integer factors of 67772 that divides 67758 without a remainder.

1, 2, 4, 16943, 33886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67758 and 67772. The biggest common factor number is the GCF number.
So the greatest common factor 67758 and 67772 is 2.

Also check out the Least Common Multiple of 67758 and 67772