What is the Greatest Common Factor of 588 and 602?

Greatest common factor (GCF) of 588 and 602 is 14.

GCF(588,602) = 14

We will now calculate the prime factors of 588 and 602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 588 and 602.

How to find the GCF of 588 and 602?

We will first find the prime factorization of 588 and 602. After we will calculate the factors of 588 and 602 and find the biggest common factor number .

Step-1: Prime Factorization of 588

Prime factors of 588 are 2, 3, 7. Prime factorization of 588 in exponential form is:

588 = 2² × 3¹ × 7²

Step-2: Prime Factorization of 602

Prime factors of 602 are 2, 7, 43. Prime factorization of 602 in exponential form is:

602 = 2¹ × 7¹ × 43¹

Step-3: Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294

Step-4: Factors of 602

List of positive integer factors of 602 that divides 588 without a remainder.

1, 2, 7, 14, 43, 86, 301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 588 and 602. The biggest common factor number is the GCF number.
So the greatest common factor 588 and 602 is 14.

Also check out the Least Common Multiple of 588 and 602