What is the Greatest Common Factor of 66563 and 66577?

Greatest common factor (GCF) of 66563 and 66577 is 7.

GCF(66563,66577) = 7

We will now calculate the prime factors of 66563 and 66577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66563 and 66577.

How to find the GCF of 66563 and 66577?

We will first find the prime factorization of 66563 and 66577. After we will calculate the factors of 66563 and 66577 and find the biggest common factor number .

Step-1: Prime Factorization of 66563

Prime factors of 66563 are 7, 37, 257. Prime factorization of 66563 in exponential form is:

66563 = 7¹ × 37¹ × 257¹

Step-2: Prime Factorization of 66577

Prime factors of 66577 are 7, 9511. Prime factorization of 66577 in exponential form is:

66577 = 7¹ × 9511¹

Step-3: Factors of 66563

List of positive integer factors of 66563 that divides 66563 without a remainder.

1, 7, 37, 257, 259, 1799, 9509

Step-4: Factors of 66577

List of positive integer factors of 66577 that divides 66563 without a remainder.

1, 7, 9511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66563 and 66577. The biggest common factor number is the GCF number.
So the greatest common factor 66563 and 66577 is 7.

Also check out the Least Common Multiple of 66563 and 66577