What is the Greatest Common Factor of 35473 and 35492?

Greatest common factor (GCF) of 35473 and 35492 is 19.

GCF(35473,35492) = 19

We will now calculate the prime factors of 35473 and 35492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35473 and 35492.

How to find the GCF of 35473 and 35492?

We will first find the prime factorization of 35473 and 35492. After we will calculate the factors of 35473 and 35492 and find the biggest common factor number .

Step-1: Prime Factorization of 35473

Prime factors of 35473 are 19, 1867. Prime factorization of 35473 in exponential form is:

35473 = 19¹ × 1867¹

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 35473

List of positive integer factors of 35473 that divides 35473 without a remainder.

1, 19, 1867

Step-4: Factors of 35492

List of positive integer factors of 35492 that divides 35473 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 35473 and 35492. The biggest common factor number is the GCF number.
So the greatest common factor 35473 and 35492 is 19.

Also check out the Least Common Multiple of 35473 and 35492