What is the Greatest Common Factor of 3960 and 3970?

Greatest common factor (GCF) of 3960 and 3970 is 10.

GCF(3960,3970) = 10

We will now calculate the prime factors of 3960 and 3970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3960 and 3970.

How to find the GCF of 3960 and 3970?

We will first find the prime factorization of 3960 and 3970. After we will calculate the factors of 3960 and 3970 and find the biggest common factor number .

Step-1: Prime Factorization of 3960

Prime factors of 3960 are 2, 3, 5, 11. Prime factorization of 3960 in exponential form is:

3960 = 2³ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 3970

Prime factors of 3970 are 2, 5, 397. Prime factorization of 3970 in exponential form is:

3970 = 2¹ × 5¹ × 397¹

Step-3: Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980

Step-4: Factors of 3970

List of positive integer factors of 3970 that divides 3960 without a remainder.

1, 2, 5, 10, 397, 794, 1985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3960 and 3970. The biggest common factor number is the GCF number.
So the greatest common factor 3960 and 3970 is 10.

Also check out the Least Common Multiple of 3960 and 3970