What is the Greatest Common Factor of 35875 and 35892?

Greatest common factor (GCF) of 35875 and 35892 is 1.

GCF(35875,35892) = 1

We will now calculate the prime factors of 35875 and 35892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35875 and 35892.

How to find the GCF of 35875 and 35892?

We will first find the prime factorization of 35875 and 35892. After we will calculate the factors of 35875 and 35892 and find the biggest common factor number .

Step-1: Prime Factorization of 35875

Prime factors of 35875 are 5, 7, 41. Prime factorization of 35875 in exponential form is:

35875 = 5³ × 7¹ × 41¹

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 35875

List of positive integer factors of 35875 that divides 35875 without a remainder.

1, 5, 7, 25, 35, 41, 125, 175, 205, 287, 875, 1025, 1435, 5125, 7175

Step-4: Factors of 35892

List of positive integer factors of 35892 that divides 35875 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 35875 and 35892. The biggest common factor number is the GCF number.
So the greatest common factor 35875 and 35892 is 1.

Also check out the Least Common Multiple of 35875 and 35892