What is the Greatest Common Factor of 10649 and 10664?

Greatest common factor (GCF) of 10649 and 10664 is 1.

GCF(10649,10664) = 1

We will now calculate the prime factors of 10649 and 10664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10649 and 10664.

How to find the GCF of 10649 and 10664?

We will first find the prime factorization of 10649 and 10664. After we will calculate the factors of 10649 and 10664 and find the biggest common factor number .

Step-1: Prime Factorization of 10649

Prime factors of 10649 are 23, 463. Prime factorization of 10649 in exponential form is:

10649 = 23¹ × 463¹

Step-2: Prime Factorization of 10664

Prime factors of 10664 are 2, 31, 43. Prime factorization of 10664 in exponential form is:

10664 = 2³ × 31¹ × 43¹

Step-3: Factors of 10649

List of positive integer factors of 10649 that divides 10649 without a remainder.

1, 23, 463

Step-4: Factors of 10664

List of positive integer factors of 10664 that divides 10649 without a remainder.

1, 2, 4, 8, 31, 43, 62, 86, 124, 172, 248, 344, 1333, 2666, 5332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10649 and 10664. The biggest common factor number is the GCF number.
So the greatest common factor 10649 and 10664 is 1.

Also check out the Least Common Multiple of 10649 and 10664