What is the Greatest Common Factor of 67754 and 67772?

Greatest common factor (GCF) of 67754 and 67772 is 2.

GCF(67754,67772) = 2

We will now calculate the prime factors of 67754 and 67772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67754 and 67772.

How to find the GCF of 67754 and 67772?

We will first find the prime factorization of 67754 and 67772. After we will calculate the factors of 67754 and 67772 and find the biggest common factor number .

Step-1: Prime Factorization of 67754

Prime factors of 67754 are 2, 19, 1783. Prime factorization of 67754 in exponential form is:

67754 = 2¹ × 19¹ × 1783¹

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 67754

List of positive integer factors of 67754 that divides 67754 without a remainder.

1, 2, 19, 38, 1783, 3566, 33877

Step-4: Factors of 67772

List of positive integer factors of 67772 that divides 67754 without a remainder.

1, 2, 4, 16943, 33886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67754 and 67772. The biggest common factor number is the GCF number.
So the greatest common factor 67754 and 67772 is 2.

Also check out the Least Common Multiple of 67754 and 67772