What is the Greatest Common Factor of 35492 and 35506?

Greatest common factor (GCF) of 35492 and 35506 is 2.

GCF(35492,35506) = 2

We will now calculate the prime factors of 35492 and 35506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35492 and 35506.

How to find the GCF of 35492 and 35506?

We will first find the prime factorization of 35492 and 35506. After we will calculate the factors of 35492 and 35506 and find the biggest common factor number .

Step-1: Prime Factorization of 35492

Prime factors of 35492 are 2, 19, 467. Prime factorization of 35492 in exponential form is:

35492 = 2² × 19¹ × 467¹

Step-2: Prime Factorization of 35506

Prime factors of 35506 are 2, 41, 433. Prime factorization of 35506 in exponential form is:

35506 = 2¹ × 41¹ × 433¹

Step-3: Factors of 35492

List of positive integer factors of 35492 that divides 35492 without a remainder.

1, 2, 4, 19, 38, 76, 467, 934, 1868, 8873, 17746

Step-4: Factors of 35506

List of positive integer factors of 35506 that divides 35492 without a remainder.

1, 2, 41, 82, 433, 866, 17753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35492 and 35506. The biggest common factor number is the GCF number.
So the greatest common factor 35492 and 35506 is 2.

Also check out the Least Common Multiple of 35492 and 35506