What is the Greatest Common Factor of 35082 and 35098?

Greatest common factor (GCF) of 35082 and 35098 is 2.

GCF(35082,35098) = 2

We will now calculate the prime factors of 35082 and 35098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35082 and 35098.

How to find the GCF of 35082 and 35098?

We will first find the prime factorization of 35082 and 35098. After we will calculate the factors of 35082 and 35098 and find the biggest common factor number .

Step-1: Prime Factorization of 35082

Prime factors of 35082 are 2, 3, 1949. Prime factorization of 35082 in exponential form is:

35082 = 2¹ × 3² × 1949¹

Step-2: Prime Factorization of 35098

Prime factors of 35098 are 2, 7, 23, 109. Prime factorization of 35098 in exponential form is:

35098 = 2¹ × 7¹ × 23¹ × 109¹

Step-3: Factors of 35082

List of positive integer factors of 35082 that divides 35082 without a remainder.

1, 2, 3, 6, 9, 18, 1949, 3898, 5847, 11694, 17541

Step-4: Factors of 35098

List of positive integer factors of 35098 that divides 35082 without a remainder.

1, 2, 7, 14, 23, 46, 109, 161, 218, 322, 763, 1526, 2507, 5014, 17549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35082 and 35098. The biggest common factor number is the GCF number.
So the greatest common factor 35082 and 35098 is 2.

Also check out the Least Common Multiple of 35082 and 35098