What is the Greatest Common Factor of 29612 and 29623?

Greatest common factor (GCF) of 29612 and 29623 is 11.

GCF(29612,29623) = 11

We will now calculate the prime factors of 29612 and 29623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29612 and 29623.

How to find the GCF of 29612 and 29623?

We will first find the prime factorization of 29612 and 29623. After we will calculate the factors of 29612 and 29623 and find the biggest common factor number .

Step-1: Prime Factorization of 29612

Prime factors of 29612 are 2, 11, 673. Prime factorization of 29612 in exponential form is:

29612 = 2² × 11¹ × 673¹

Step-2: Prime Factorization of 29623

Prime factors of 29623 are 11, 2693. Prime factorization of 29623 in exponential form is:

29623 = 11¹ × 2693¹

Step-3: Factors of 29612

List of positive integer factors of 29612 that divides 29612 without a remainder.

1, 2, 4, 11, 22, 44, 673, 1346, 2692, 7403, 14806

Step-4: Factors of 29623

List of positive integer factors of 29623 that divides 29612 without a remainder.

1, 11, 2693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29612 and 29623. The biggest common factor number is the GCF number.
So the greatest common factor 29612 and 29623 is 11.

Also check out the Least Common Multiple of 29612 and 29623