What is the Greatest Common Factor of 35862 and 35876?

Greatest common factor (GCF) of 35862 and 35876 is 2.

GCF(35862,35876) = 2

We will now calculate the prime factors of 35862 and 35876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35862 and 35876.

How to find the GCF of 35862 and 35876?

We will first find the prime factorization of 35862 and 35876. After we will calculate the factors of 35862 and 35876 and find the biggest common factor number .

Step-1: Prime Factorization of 35862

Prime factors of 35862 are 2, 3, 43, 139. Prime factorization of 35862 in exponential form is:

35862 = 2¹ × 3¹ × 43¹ × 139¹

Step-2: Prime Factorization of 35876

Prime factors of 35876 are 2, 8969. Prime factorization of 35876 in exponential form is:

35876 = 2² × 8969¹

Step-3: Factors of 35862

List of positive integer factors of 35862 that divides 35862 without a remainder.

1, 2, 3, 6, 43, 86, 129, 139, 258, 278, 417, 834, 5977, 11954, 17931

Step-4: Factors of 35876

List of positive integer factors of 35876 that divides 35862 without a remainder.

1, 2, 4, 8969, 17938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35862 and 35876. The biggest common factor number is the GCF number.
So the greatest common factor 35862 and 35876 is 2.

Also check out the Least Common Multiple of 35862 and 35876