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What is the Greatest Common Factor of 602 and 613?

Greatest common factor (GCF) of 602 and 613 is 1.

GCF(602,613) = 1

We will now calculate the prime factors of 602 and 613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 602 and 613.

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How to find the GCF of 602 and 613?

We will first find the prime factorization of 602 and 613. After we will calculate the factors of 602 and 613 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 613

Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:

613 = 6131

Step-3: Factors of 602

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

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

Step-4: Factors of 613

List of positive integer factors of 613 that divides 602 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 602 and 613. The biggest common factor number is the GCF number.
So the greatest common factor 602 and 613 is 1.

Also check out the Least Common Multiple of 602 and 613