What is the Greatest Common Factor of 35492 and 35512?

Greatest common factor (GCF) of 35492 and 35512 is 4.

GCF(35492,35512) = 4

We will now calculate the prime factors of 35492 and 35512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35492 and 35512.

How to find the GCF of 35492 and 35512?

We will first find the prime factorization of 35492 and 35512. After we will calculate the factors of 35492 and 35512 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 35512

Prime factors of 35512 are 2, 23, 193. Prime factorization of 35512 in exponential form is:

35512 = 2³ × 23¹ × 193¹

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 35512

List of positive integer factors of 35512 that divides 35492 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 193, 386, 772, 1544, 4439, 8878, 17756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35492 and 35512. The biggest common factor number is the GCF number.
So the greatest common factor 35492 and 35512 is 4.

Also check out the Least Common Multiple of 35492 and 35512