What is the Greatest Common Factor of 67752 and 67764?

Greatest common factor (GCF) of 67752 and 67764 is 12.

GCF(67752,67764) = 12

We will now calculate the prime factors of 67752 and 67764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67752 and 67764.

How to find the GCF of 67752 and 67764?

We will first find the prime factorization of 67752 and 67764. After we will calculate the factors of 67752 and 67764 and find the biggest common factor number .

Step-1: Prime Factorization of 67752

Prime factors of 67752 are 2, 3, 941. Prime factorization of 67752 in exponential form is:

67752 = 2³ × 3² × 941¹

Step-2: Prime Factorization of 67764

Prime factors of 67764 are 2, 3, 5647. Prime factorization of 67764 in exponential form is:

67764 = 2² × 3¹ × 5647¹

Step-3: Factors of 67752

List of positive integer factors of 67752 that divides 67752 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 941, 1882, 2823, 3764, 5646, 7528, 8469, 11292, 16938, 22584, 33876

Step-4: Factors of 67764

List of positive integer factors of 67764 that divides 67752 without a remainder.

1, 2, 3, 4, 6, 12, 5647, 11294, 16941, 22588, 33882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67752 and 67764. The biggest common factor number is the GCF number.
So the greatest common factor 67752 and 67764 is 12.

Also check out the Least Common Multiple of 67752 and 67764