What is the Greatest Common Factor of 29653 and 29666?

Greatest common factor (GCF) of 29653 and 29666 is 13.

GCF(29653,29666) = 13

We will now calculate the prime factors of 29653 and 29666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29653 and 29666.

How to find the GCF of 29653 and 29666?

We will first find the prime factorization of 29653 and 29666. After we will calculate the factors of 29653 and 29666 and find the biggest common factor number .

Step-1: Prime Factorization of 29653

Prime factors of 29653 are 13, 2281. Prime factorization of 29653 in exponential form is:

29653 = 13¹ × 2281¹

Step-2: Prime Factorization of 29666

Prime factors of 29666 are 2, 7, 13, 163. Prime factorization of 29666 in exponential form is:

29666 = 2¹ × 7¹ × 13¹ × 163¹

Step-3: Factors of 29653

List of positive integer factors of 29653 that divides 29653 without a remainder.

1, 13, 2281

Step-4: Factors of 29666

List of positive integer factors of 29666 that divides 29653 without a remainder.

1, 2, 7, 13, 14, 26, 91, 163, 182, 326, 1141, 2119, 2282, 4238, 14833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29653 and 29666. The biggest common factor number is the GCF number.
So the greatest common factor 29653 and 29666 is 13.

Also check out the Least Common Multiple of 29653 and 29666