What is the Greatest Common Factor of 3952 and 3965?

Greatest common factor (GCF) of 3952 and 3965 is 13.

GCF(3952,3965) = 13

We will now calculate the prime factors of 3952 and 3965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3952 and 3965.

How to find the GCF of 3952 and 3965?

We will first find the prime factorization of 3952 and 3965. After we will calculate the factors of 3952 and 3965 and find the biggest common factor number .

Step-1: Prime Factorization of 3952

Prime factors of 3952 are 2, 13, 19. Prime factorization of 3952 in exponential form is:

3952 = 2⁴ × 13¹ × 19¹

Step-2: Prime Factorization of 3965

Prime factors of 3965 are 5, 13, 61. Prime factorization of 3965 in exponential form is:

3965 = 5¹ × 13¹ × 61¹

Step-3: Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976

Step-4: Factors of 3965

List of positive integer factors of 3965 that divides 3952 without a remainder.

1, 5, 13, 61, 65, 305, 793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3952 and 3965. The biggest common factor number is the GCF number.
So the greatest common factor 3952 and 3965 is 13.

Also check out the Least Common Multiple of 3952 and 3965