What is the Greatest Common Factor of 70914 and 70920?

Greatest common factor (GCF) of 70914 and 70920 is 6.

GCF(70914,70920) = 6

We will now calculate the prime factors of 70914 and 70920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70914 and 70920.

How to find the GCF of 70914 and 70920?

We will first find the prime factorization of 70914 and 70920. After we will calculate the factors of 70914 and 70920 and find the biggest common factor number .

Step-1: Prime Factorization of 70914

Prime factors of 70914 are 2, 3, 53, 223. Prime factorization of 70914 in exponential form is:

70914 = 2¹ × 3¹ × 53¹ × 223¹

Step-2: Prime Factorization of 70920

Prime factors of 70920 are 2, 3, 5, 197. Prime factorization of 70920 in exponential form is:

70920 = 2³ × 3² × 5¹ × 197¹

Step-3: Factors of 70914

List of positive integer factors of 70914 that divides 70914 without a remainder.

1, 2, 3, 6, 53, 106, 159, 223, 318, 446, 669, 1338, 11819, 23638, 35457

Step-4: Factors of 70920

List of positive integer factors of 70920 that divides 70914 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 197, 360, 394, 591, 788, 985, 1182, 1576, 1773, 1970, 2364, 2955, 3546, 3940, 4728, 5910, 7092, 7880, 8865, 11820, 14184, 17730, 23640, 35460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70914 and 70920. The biggest common factor number is the GCF number.
So the greatest common factor 70914 and 70920 is 6.

Also check out the Least Common Multiple of 70914 and 70920