What is the Greatest Common Factor of 35582 and 35602?

Greatest common factor (GCF) of 35582 and 35602 is 2.

GCF(35582,35602) = 2

We will now calculate the prime factors of 35582 and 35602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35582 and 35602.

How to find the GCF of 35582 and 35602?

We will first find the prime factorization of 35582 and 35602. After we will calculate the factors of 35582 and 35602 and find the biggest common factor number .

Step-1: Prime Factorization of 35582

Prime factors of 35582 are 2, 17791. Prime factorization of 35582 in exponential form is:

35582 = 2¹ × 17791¹

Step-2: Prime Factorization of 35602

Prime factors of 35602 are 2, 7, 2543. Prime factorization of 35602 in exponential form is:

35602 = 2¹ × 7¹ × 2543¹

Step-3: Factors of 35582

List of positive integer factors of 35582 that divides 35582 without a remainder.

1, 2, 17791

Step-4: Factors of 35602

List of positive integer factors of 35602 that divides 35582 without a remainder.

1, 2, 7, 14, 2543, 5086, 17801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35582 and 35602. The biggest common factor number is the GCF number.
So the greatest common factor 35582 and 35602 is 2.

Also check out the Least Common Multiple of 35582 and 35602