What is the Greatest Common Factor of 4642 and 4653?

Greatest common factor (GCF) of 4642 and 4653 is 11.

GCF(4642,4653) = 11

We will now calculate the prime factors of 4642 and 4653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4642 and 4653.

How to find the GCF of 4642 and 4653?

We will first find the prime factorization of 4642 and 4653. After we will calculate the factors of 4642 and 4653 and find the biggest common factor number .

Step-1: Prime Factorization of 4642

Prime factors of 4642 are 2, 11, 211. Prime factorization of 4642 in exponential form is:

4642 = 2¹ × 11¹ × 211¹

Step-2: Prime Factorization of 4653

Prime factors of 4653 are 3, 11, 47. Prime factorization of 4653 in exponential form is:

4653 = 3² × 11¹ × 47¹

Step-3: Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1, 2, 11, 22, 211, 422, 2321

Step-4: Factors of 4653

List of positive integer factors of 4653 that divides 4642 without a remainder.

1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4642 and 4653. The biggest common factor number is the GCF number.
So the greatest common factor 4642 and 4653 is 11.

Also check out the Least Common Multiple of 4642 and 4653