What is the Greatest Common Factor of 66492 and 66506?

Greatest common factor (GCF) of 66492 and 66506 is 2.

GCF(66492,66506) = 2

We will now calculate the prime factors of 66492 and 66506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66492 and 66506.

How to find the GCF of 66492 and 66506?

We will first find the prime factorization of 66492 and 66506. After we will calculate the factors of 66492 and 66506 and find the biggest common factor number .

Step-1: Prime Factorization of 66492

Prime factors of 66492 are 2, 3, 1847. Prime factorization of 66492 in exponential form is:

66492 = 2² × 3² × 1847¹

Step-2: Prime Factorization of 66506

Prime factors of 66506 are 2, 11, 3023. Prime factorization of 66506 in exponential form is:

66506 = 2¹ × 11¹ × 3023¹

Step-3: Factors of 66492

List of positive integer factors of 66492 that divides 66492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1847, 3694, 5541, 7388, 11082, 16623, 22164, 33246

Step-4: Factors of 66506

List of positive integer factors of 66506 that divides 66492 without a remainder.

1, 2, 11, 22, 3023, 6046, 33253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66492 and 66506. The biggest common factor number is the GCF number.
So the greatest common factor 66492 and 66506 is 2.

Also check out the Least Common Multiple of 66492 and 66506