What is the Greatest Common Factor of 35084 and 35098?

Greatest common factor (GCF) of 35084 and 35098 is 14.

GCF(35084,35098) = 14

We will now calculate the prime factors of 35084 and 35098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35084 and 35098.

How to find the GCF of 35084 and 35098?

We will first find the prime factorization of 35084 and 35098. After we will calculate the factors of 35084 and 35098 and find the biggest common factor number .

Step-1: Prime Factorization of 35084

Prime factors of 35084 are 2, 7, 179. Prime factorization of 35084 in exponential form is:

35084 = 2² × 7² × 179¹

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 35084

List of positive integer factors of 35084 that divides 35084 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 179, 196, 358, 716, 1253, 2506, 5012, 8771, 17542

Step-4: Factors of 35098

List of positive integer factors of 35098 that divides 35084 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 35084 and 35098. The biggest common factor number is the GCF number.
So the greatest common factor 35084 and 35098 is 14.

Also check out the Least Common Multiple of 35084 and 35098