What is the Greatest Common Factor of 3942 and 3955?

Greatest common factor (GCF) of 3942 and 3955 is 1.

GCF(3942,3955) = 1

We will now calculate the prime factors of 3942 and 3955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3942 and 3955.

How to find the GCF of 3942 and 3955?

We will first find the prime factorization of 3942 and 3955. After we will calculate the factors of 3942 and 3955 and find the biggest common factor number .

Step-1: Prime Factorization of 3942

Prime factors of 3942 are 2, 3, 73. Prime factorization of 3942 in exponential form is:

3942 = 2¹ × 3³ × 73¹

Step-2: Prime Factorization of 3955

Prime factors of 3955 are 5, 7, 113. Prime factorization of 3955 in exponential form is:

3955 = 5¹ × 7¹ × 113¹

Step-3: Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971

Step-4: Factors of 3955

List of positive integer factors of 3955 that divides 3942 without a remainder.

1, 5, 7, 35, 113, 565, 791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3942 and 3955. The biggest common factor number is the GCF number.
So the greatest common factor 3942 and 3955 is 1.

Also check out the Least Common Multiple of 3942 and 3955