What is the Greatest Common Factor of 3938 and 3953?

Greatest common factor (GCF) of 3938 and 3953 is 1.

GCF(3938,3953) = 1

We will now calculate the prime factors of 3938 and 3953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3938 and 3953.

How to find the GCF of 3938 and 3953?

We will first find the prime factorization of 3938 and 3953. After we will calculate the factors of 3938 and 3953 and find the biggest common factor number .

Step-1: Prime Factorization of 3938

Prime factors of 3938 are 2, 11, 179. Prime factorization of 3938 in exponential form is:

3938 = 2¹ × 11¹ × 179¹

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 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1, 2, 11, 22, 179, 358, 1969

Step-4: Factors of 3953

List of positive integer factors of 3953 that divides 3938 without a remainder.

1, 59, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3938 and 3953. The biggest common factor number is the GCF number.
So the greatest common factor 3938 and 3953 is 1.

Also check out the Least Common Multiple of 3938 and 3953