What is the Greatest Common Factor of 35585 and 35602?

Greatest common factor (GCF) of 35585 and 35602 is 1.

GCF(35585,35602) = 1

We will now calculate the prime factors of 35585 and 35602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35585 and 35602.

How to find the GCF of 35585 and 35602?

We will first find the prime factorization of 35585 and 35602. After we will calculate the factors of 35585 and 35602 and find the biggest common factor number .

Step-1: Prime Factorization of 35585

Prime factors of 35585 are 5, 11, 647. Prime factorization of 35585 in exponential form is:

35585 = 5¹ × 11¹ × 647¹

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 35585

List of positive integer factors of 35585 that divides 35585 without a remainder.

1, 5, 11, 55, 647, 3235, 7117

Step-4: Factors of 35602

List of positive integer factors of 35602 that divides 35585 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35585 and 35602. The biggest common factor number is the GCF number.
So the greatest common factor 35585 and 35602 is 1.

Also check out the Least Common Multiple of 35585 and 35602