What is the Greatest Common Factor of 3944 and 3953?

Greatest common factor (GCF) of 3944 and 3953 is 1.

GCF(3944,3953) = 1

We will now calculate the prime factors of 3944 and 3953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3944 and 3953.

How to find the GCF of 3944 and 3953?

We will first find the prime factorization of 3944 and 3953. After we will calculate the factors of 3944 and 3953 and find the biggest common factor number .

Step-1: Prime Factorization of 3944

Prime factors of 3944 are 2, 17, 29. Prime factorization of 3944 in exponential form is:

3944 = 2³ × 17¹ × 29¹

Step-2: Prime Factorization of 3953

Prime factors of 3953 are 59, 67. Prime factorization of 3953 in exponential form is:

3953 = 59¹ × 67¹

Step-3: Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972

Step-4: Factors of 3953

List of positive integer factors of 3953 that divides 3944 without a remainder.

1, 59, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3944 and 3953. The biggest common factor number is the GCF number.
So the greatest common factor 3944 and 3953 is 1.

Also check out the Least Common Multiple of 3944 and 3953