What is the Greatest Common Factor of 66506 and 66516?

Greatest common factor (GCF) of 66506 and 66516 is 2.

GCF(66506,66516) = 2

We will now calculate the prime factors of 66506 and 66516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66506 and 66516.

How to find the GCF of 66506 and 66516?

We will first find the prime factorization of 66506 and 66516. After we will calculate the factors of 66506 and 66516 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66516

Prime factors of 66516 are 2, 3, 23, 241. Prime factorization of 66516 in exponential form is:

66516 = 2² × 3¹ × 23¹ × 241¹

Step-3: Factors of 66506

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

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

Step-4: Factors of 66516

List of positive integer factors of 66516 that divides 66506 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 241, 276, 482, 723, 964, 1446, 2892, 5543, 11086, 16629, 22172, 33258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66506 and 66516. The biggest common factor number is the GCF number.
So the greatest common factor 66506 and 66516 is 2.

Also check out the Least Common Multiple of 66506 and 66516