What is the Greatest Common Factor of 35498 and 35518?

Greatest common factor (GCF) of 35498 and 35518 is 2.

GCF(35498,35518) = 2

We will now calculate the prime factors of 35498 and 35518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35498 and 35518.

How to find the GCF of 35498 and 35518?

We will first find the prime factorization of 35498 and 35518. After we will calculate the factors of 35498 and 35518 and find the biggest common factor number .

Step-1: Prime Factorization of 35498

Prime factors of 35498 are 2, 17749. Prime factorization of 35498 in exponential form is:

35498 = 2¹ × 17749¹

Step-2: Prime Factorization of 35518

Prime factors of 35518 are 2, 7, 43, 59. Prime factorization of 35518 in exponential form is:

35518 = 2¹ × 7¹ × 43¹ × 59¹

Step-3: Factors of 35498

List of positive integer factors of 35498 that divides 35498 without a remainder.

1, 2, 17749

Step-4: Factors of 35518

List of positive integer factors of 35518 that divides 35498 without a remainder.

1, 2, 7, 14, 43, 59, 86, 118, 301, 413, 602, 826, 2537, 5074, 17759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35498 and 35518. The biggest common factor number is the GCF number.
So the greatest common factor 35498 and 35518 is 2.

Also check out the Least Common Multiple of 35498 and 35518