What is the Greatest Common Factor of 35702 and 35707?

Greatest common factor (GCF) of 35702 and 35707 is 1.

GCF(35702,35707) = 1

We will now calculate the prime factors of 35702 and 35707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35702 and 35707.

How to find the GCF of 35702 and 35707?

We will first find the prime factorization of 35702 and 35707. After we will calculate the factors of 35702 and 35707 and find the biggest common factor number .

Step-1: Prime Factorization of 35702

Prime factors of 35702 are 2, 17851. Prime factorization of 35702 in exponential form is:

35702 = 2¹ × 17851¹

Step-2: Prime Factorization of 35707

Prime factors of 35707 are 7, 5101. Prime factorization of 35707 in exponential form is:

35707 = 7¹ × 5101¹

Step-3: Factors of 35702

List of positive integer factors of 35702 that divides 35702 without a remainder.

1, 2, 17851

Step-4: Factors of 35707

List of positive integer factors of 35707 that divides 35702 without a remainder.

1, 7, 5101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35702 and 35707. The biggest common factor number is the GCF number.
So the greatest common factor 35702 and 35707 is 1.

Also check out the Least Common Multiple of 35702 and 35707