What is the Greatest Common Factor of 66756 and 66762?

Greatest common factor (GCF) of 66756 and 66762 is 6.

GCF(66756,66762) = 6

We will now calculate the prime factors of 66756 and 66762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66756 and 66762.

How to find the GCF of 66756 and 66762?

We will first find the prime factorization of 66756 and 66762. After we will calculate the factors of 66756 and 66762 and find the biggest common factor number .

Step-1: Prime Factorization of 66756

Prime factors of 66756 are 2, 3, 5563. Prime factorization of 66756 in exponential form is:

66756 = 2² × 3¹ × 5563¹

Step-2: Prime Factorization of 66762

Prime factors of 66762 are 2, 3, 3709. Prime factorization of 66762 in exponential form is:

66762 = 2¹ × 3² × 3709¹

Step-3: Factors of 66756

List of positive integer factors of 66756 that divides 66756 without a remainder.

1, 2, 3, 4, 6, 12, 5563, 11126, 16689, 22252, 33378

Step-4: Factors of 66762

List of positive integer factors of 66762 that divides 66756 without a remainder.

1, 2, 3, 6, 9, 18, 3709, 7418, 11127, 22254, 33381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66756 and 66762. The biggest common factor number is the GCF number.
So the greatest common factor 66756 and 66762 is 6.

Also check out the Least Common Multiple of 66756 and 66762