What is the Greatest Common Factor of 67764 and 67776?

Greatest common factor (GCF) of 67764 and 67776 is 12.

GCF(67764,67776) = 12

We will now calculate the prime factors of 67764 and 67776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67764 and 67776.

How to find the GCF of 67764 and 67776?

We will first find the prime factorization of 67764 and 67776. After we will calculate the factors of 67764 and 67776 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67776

Prime factors of 67776 are 2, 3, 353. Prime factorization of 67776 in exponential form is:

67776 = 2⁶ × 3¹ × 353¹

Step-3: Factors of 67764

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

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

Step-4: Factors of 67776

List of positive integer factors of 67776 that divides 67764 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 353, 706, 1059, 1412, 2118, 2824, 4236, 5648, 8472, 11296, 16944, 22592, 33888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67764 and 67776. The biggest common factor number is the GCF number.
So the greatest common factor 67764 and 67776 is 12.

Also check out the Least Common Multiple of 67764 and 67776