What is the Greatest Common Factor of 4629 and 4637?

Greatest common factor (GCF) of 4629 and 4637 is 1.

GCF(4629,4637) = 1

We will now calculate the prime factors of 4629 and 4637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4629 and 4637.

How to find the GCF of 4629 and 4637?

We will first find the prime factorization of 4629 and 4637. After we will calculate the factors of 4629 and 4637 and find the biggest common factor number .

Step-1: Prime Factorization of 4629

Prime factors of 4629 are 3, 1543. Prime factorization of 4629 in exponential form is:

4629 = 3¹ × 1543¹

Step-2: Prime Factorization of 4637

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 4637¹

Step-3: Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1, 3, 1543

Step-4: Factors of 4637

List of positive integer factors of 4637 that divides 4629 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4629 and 4637. The biggest common factor number is the GCF number.
So the greatest common factor 4629 and 4637 is 1.

Also check out the Least Common Multiple of 4629 and 4637