What is the Greatest Common Factor of 35086 and 35102?

Greatest common factor (GCF) of 35086 and 35102 is 2.

GCF(35086,35102) = 2

We will now calculate the prime factors of 35086 and 35102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35086 and 35102.

How to find the GCF of 35086 and 35102?

We will first find the prime factorization of 35086 and 35102. After we will calculate the factors of 35086 and 35102 and find the biggest common factor number .

Step-1: Prime Factorization of 35086

Prime factors of 35086 are 2, 53, 331. Prime factorization of 35086 in exponential form is:

35086 = 2¹ × 53¹ × 331¹

Step-2: Prime Factorization of 35102

Prime factors of 35102 are 2, 17551. Prime factorization of 35102 in exponential form is:

35102 = 2¹ × 17551¹

Step-3: Factors of 35086

List of positive integer factors of 35086 that divides 35086 without a remainder.

1, 2, 53, 106, 331, 662, 17543

Step-4: Factors of 35102

List of positive integer factors of 35102 that divides 35086 without a remainder.

1, 2, 17551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35086 and 35102. The biggest common factor number is the GCF number.
So the greatest common factor 35086 and 35102 is 2.

Also check out the Least Common Multiple of 35086 and 35102