What is the Greatest Common Factor of 35888 and 35906?

Greatest common factor (GCF) of 35888 and 35906 is 2.

GCF(35888,35906) = 2

We will now calculate the prime factors of 35888 and 35906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35888 and 35906.

How to find the GCF of 35888 and 35906?

We will first find the prime factorization of 35888 and 35906. After we will calculate the factors of 35888 and 35906 and find the biggest common factor number .

Step-1: Prime Factorization of 35888

Prime factors of 35888 are 2, 2243. Prime factorization of 35888 in exponential form is:

35888 = 2⁴ × 2243¹

Step-2: Prime Factorization of 35906

Prime factors of 35906 are 2, 13, 1381. Prime factorization of 35906 in exponential form is:

35906 = 2¹ × 13¹ × 1381¹

Step-3: Factors of 35888

List of positive integer factors of 35888 that divides 35888 without a remainder.

1, 2, 4, 8, 16, 2243, 4486, 8972, 17944

Step-4: Factors of 35906

List of positive integer factors of 35906 that divides 35888 without a remainder.

1, 2, 13, 26, 1381, 2762, 17953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35888 and 35906. The biggest common factor number is the GCF number.
So the greatest common factor 35888 and 35906 is 2.

Also check out the Least Common Multiple of 35888 and 35906