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What is the Greatest Common Factor of 4679 and 4690?

Greatest common factor (GCF) of 4679 and 4690 is 1.

GCF(4679,4690) = 1

We will now calculate the prime factors of 4679 and 4690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4679 and 4690.

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How to find the GCF of 4679 and 4690?

We will first find the prime factorization of 4679 and 4690. After we will calculate the factors of 4679 and 4690 and find the biggest common factor number .

Step-1: Prime Factorization of 4679

Prime factors of 4679 are 4679. Prime factorization of 4679 in exponential form is:

4679 = 46791

Step-2: Prime Factorization of 4690

Prime factors of 4690 are 2, 5, 7, 67. Prime factorization of 4690 in exponential form is:

4690 = 21 × 51 × 71 × 671

Step-3: Factors of 4679

List of positive integer factors of 4679 that divides 4679 without a remainder.

1

Step-4: Factors of 4690

List of positive integer factors of 4690 that divides 4679 without a remainder.

1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4679 and 4690. The biggest common factor number is the GCF number.
So the greatest common factor 4679 and 4690 is 1.

Also check out the Least Common Multiple of 4679 and 4690