What is the Greatest Common Factor of 56406 and 56420?

Greatest common factor (GCF) of 56406 and 56420 is 14.

GCF(56406,56420) = 14

We will now calculate the prime factors of 56406 and 56420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56406 and 56420.

How to find the GCF of 56406 and 56420?

We will first find the prime factorization of 56406 and 56420. After we will calculate the factors of 56406 and 56420 and find the biggest common factor number .

Step-1: Prime Factorization of 56406

Prime factors of 56406 are 2, 3, 7, 17, 79. Prime factorization of 56406 in exponential form is:

56406 = 2¹ × 3¹ × 7¹ × 17¹ × 79¹

Step-2: Prime Factorization of 56420

Prime factors of 56420 are 2, 5, 7, 13, 31. Prime factorization of 56420 in exponential form is:

56420 = 2² × 5¹ × 7¹ × 13¹ × 31¹

Step-3: Factors of 56406

List of positive integer factors of 56406 that divides 56406 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 79, 102, 119, 158, 237, 238, 357, 474, 553, 714, 1106, 1343, 1659, 2686, 3318, 4029, 8058, 9401, 18802, 28203

Step-4: Factors of 56420

List of positive integer factors of 56420 that divides 56406 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 31, 35, 52, 62, 65, 70, 91, 124, 130, 140, 155, 182, 217, 260, 310, 364, 403, 434, 455, 620, 806, 868, 910, 1085, 1612, 1820, 2015, 2170, 2821, 4030, 4340, 5642, 8060, 11284, 14105, 28210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56406 and 56420. The biggest common factor number is the GCF number.
So the greatest common factor 56406 and 56420 is 14.

Also check out the Least Common Multiple of 56406 and 56420