What is the Greatest Common Factor of 6960 and 6970?

Greatest common factor (GCF) of 6960 and 6970 is 10.

GCF(6960,6970) = 10

We will now calculate the prime factors of 6960 and 6970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6960 and 6970.

How to find the GCF of 6960 and 6970?

We will first find the prime factorization of 6960 and 6970. After we will calculate the factors of 6960 and 6970 and find the biggest common factor number .

Step-1: Prime Factorization of 6960

Prime factors of 6960 are 2, 3, 5, 29. Prime factorization of 6960 in exponential form is:

6960 = 2⁴ × 3¹ × 5¹ × 29¹

Step-2: Prime Factorization of 6970

Prime factors of 6970 are 2, 5, 17, 41. Prime factorization of 6970 in exponential form is:

6970 = 2¹ × 5¹ × 17¹ × 41¹

Step-3: Factors of 6960

List of positive integer factors of 6960 that divides 6960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 40, 48, 58, 60, 80, 87, 116, 120, 145, 174, 232, 240, 290, 348, 435, 464, 580, 696, 870, 1160, 1392, 1740, 2320, 3480

Step-4: Factors of 6970

List of positive integer factors of 6970 that divides 6960 without a remainder.

1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6960 and 6970. The biggest common factor number is the GCF number.
So the greatest common factor 6960 and 6970 is 10.

Also check out the Least Common Multiple of 6960 and 6970