What is the Greatest Common Factor of 35482 and 35502?

Greatest common factor (GCF) of 35482 and 35502 is 2.

GCF(35482,35502) = 2

We will now calculate the prime factors of 35482 and 35502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35482 and 35502.

How to find the GCF of 35482 and 35502?

We will first find the prime factorization of 35482 and 35502. After we will calculate the factors of 35482 and 35502 and find the biggest common factor number .

Step-1: Prime Factorization of 35482

Prime factors of 35482 are 2, 113, 157. Prime factorization of 35482 in exponential form is:

35482 = 2¹ × 113¹ × 157¹

Step-2: Prime Factorization of 35502

Prime factors of 35502 are 2, 3, 61, 97. Prime factorization of 35502 in exponential form is:

35502 = 2¹ × 3¹ × 61¹ × 97¹

Step-3: Factors of 35482

List of positive integer factors of 35482 that divides 35482 without a remainder.

1, 2, 113, 157, 226, 314, 17741

Step-4: Factors of 35502

List of positive integer factors of 35502 that divides 35482 without a remainder.

1, 2, 3, 6, 61, 97, 122, 183, 194, 291, 366, 582, 5917, 11834, 17751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35482 and 35502. The biggest common factor number is the GCF number.
So the greatest common factor 35482 and 35502 is 2.

Also check out the Least Common Multiple of 35482 and 35502