What is the Greatest Common Factor of 35874 and 35892?

Greatest common factor (GCF) of 35874 and 35892 is 18.

GCF(35874,35892) = 18

We will now calculate the prime factors of 35874 and 35892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35874 and 35892.

How to find the GCF of 35874 and 35892?

We will first find the prime factorization of 35874 and 35892. After we will calculate the factors of 35874 and 35892 and find the biggest common factor number .

Step-1: Prime Factorization of 35874

Prime factors of 35874 are 2, 3, 1993. Prime factorization of 35874 in exponential form is:

35874 = 2¹ × 3² × 1993¹

Step-2: Prime Factorization of 35892

Prime factors of 35892 are 2, 3, 997. Prime factorization of 35892 in exponential form is:

35892 = 2² × 3² × 997¹

Step-3: Factors of 35874

List of positive integer factors of 35874 that divides 35874 without a remainder.

1, 2, 3, 6, 9, 18, 1993, 3986, 5979, 11958, 17937

Step-4: Factors of 35892

List of positive integer factors of 35892 that divides 35874 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 997, 1994, 2991, 3988, 5982, 8973, 11964, 17946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35874 and 35892. The biggest common factor number is the GCF number.
So the greatest common factor 35874 and 35892 is 18.

Also check out the Least Common Multiple of 35874 and 35892