What is the Greatest Common Factor of 35944 and 35958?

Greatest common factor (GCF) of 35944 and 35958 is 2.

GCF(35944,35958) = 2

We will now calculate the prime factors of 35944 and 35958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35944 and 35958.

How to find the GCF of 35944 and 35958?

We will first find the prime factorization of 35944 and 35958. After we will calculate the factors of 35944 and 35958 and find the biggest common factor number .

Step-1: Prime Factorization of 35944

Prime factors of 35944 are 2, 4493. Prime factorization of 35944 in exponential form is:

35944 = 2³ × 4493¹

Step-2: Prime Factorization of 35958

Prime factors of 35958 are 2, 3, 13, 461. Prime factorization of 35958 in exponential form is:

35958 = 2¹ × 3¹ × 13¹ × 461¹

Step-3: Factors of 35944

List of positive integer factors of 35944 that divides 35944 without a remainder.

1, 2, 4, 8, 4493, 8986, 17972

Step-4: Factors of 35958

List of positive integer factors of 35958 that divides 35944 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 461, 922, 1383, 2766, 5993, 11986, 17979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35944 and 35958. The biggest common factor number is the GCF number.
So the greatest common factor 35944 and 35958 is 2.

Also check out the Least Common Multiple of 35944 and 35958