What is the Greatest Common Factor of 35890 and 35894?

Greatest common factor (GCF) of 35890 and 35894 is 2.

GCF(35890,35894) = 2

We will now calculate the prime factors of 35890 and 35894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35890 and 35894.

How to find the GCF of 35890 and 35894?

We will first find the prime factorization of 35890 and 35894. After we will calculate the factors of 35890 and 35894 and find the biggest common factor number .

Step-1: Prime Factorization of 35890

Prime factors of 35890 are 2, 5, 37, 97. Prime factorization of 35890 in exponential form is:

35890 = 2¹ × 5¹ × 37¹ × 97¹

Step-2: 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-3: Factors of 35890

List of positive integer factors of 35890 that divides 35890 without a remainder.

1, 2, 5, 10, 37, 74, 97, 185, 194, 370, 485, 970, 3589, 7178, 17945

Step-4: Factors of 35894

List of positive integer factors of 35894 that divides 35890 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35890 and 35894. The biggest common factor number is the GCF number.
So the greatest common factor 35890 and 35894 is 2.

Also check out the Least Common Multiple of 35890 and 35894