What is the Greatest Common Factor of 35894 and 35903?

Greatest common factor (GCF) of 35894 and 35903 is 1.

GCF(35894,35903) = 1

We will now calculate the prime factors of 35894 and 35903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35894 and 35903.

How to find the GCF of 35894 and 35903?

We will first find the prime factorization of 35894 and 35903. After we will calculate the factors of 35894 and 35903 and find the biggest common factor number .

Step-1: Prime Factorization of 35894

Prime factors of 35894 are 2, 131, 137. Prime factorization of 35894 in exponential form is:

35894 = 2¹ × 131¹ × 137¹

Step-2: Prime Factorization of 35903

Prime factors of 35903 are 7, 23, 223. Prime factorization of 35903 in exponential form is:

35903 = 7¹ × 23¹ × 223¹

Step-3: Factors of 35894

List of positive integer factors of 35894 that divides 35894 without a remainder.

1, 2, 131, 137, 262, 274, 17947

Step-4: Factors of 35903

List of positive integer factors of 35903 that divides 35894 without a remainder.

1, 7, 23, 161, 223, 1561, 5129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35894 and 35903. The biggest common factor number is the GCF number.
So the greatest common factor 35894 and 35903 is 1.

Also check out the Least Common Multiple of 35894 and 35903