What is the Greatest Common Factor of 35602 and 35617?

Greatest common factor (GCF) of 35602 and 35617 is 1.

GCF(35602,35617) = 1

We will now calculate the prime factors of 35602 and 35617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35602 and 35617.

How to find the GCF of 35602 and 35617?

We will first find the prime factorization of 35602 and 35617. After we will calculate the factors of 35602 and 35617 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35617

Prime factors of 35617 are 35617. Prime factorization of 35617 in exponential form is:

35617 = 35617¹

Step-3: Factors of 35602

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

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

Step-4: Factors of 35617

List of positive integer factors of 35617 that divides 35602 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35602 and 35617. The biggest common factor number is the GCF number.
So the greatest common factor 35602 and 35617 is 1.

Also check out the Least Common Multiple of 35602 and 35617