What is the Greatest Common Factor of 35474 and 35492?

Greatest common factor (GCF) of 35474 and 35492 is 2.

GCF(35474,35492) = 2

We will now calculate the prime factors of 35474 and 35492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35474 and 35492.

How to find the GCF of 35474 and 35492?

We will first find the prime factorization of 35474 and 35492. After we will calculate the factors of 35474 and 35492 and find the biggest common factor number .

Step-1: Prime Factorization of 35474

Prime factors of 35474 are 2, 17737. Prime factorization of 35474 in exponential form is:

35474 = 2¹ × 17737¹

Step-2: 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-3: Factors of 35474

List of positive integer factors of 35474 that divides 35474 without a remainder.

1, 2, 17737

Step-4: Factors of 35492

List of positive integer factors of 35492 that divides 35474 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35474 and 35492. The biggest common factor number is the GCF number.
So the greatest common factor 35474 and 35492 is 2.

Also check out the Least Common Multiple of 35474 and 35492