What is the Greatest Common Factor of 56420 and 56427?

Greatest common factor (GCF) of 56420 and 56427 is 7.

GCF(56420,56427) = 7

We will now calculate the prime factors of 56420 and 56427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56420 and 56427.

How to find the GCF of 56420 and 56427?

We will first find the prime factorization of 56420 and 56427. After we will calculate the factors of 56420 and 56427 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56427

Prime factors of 56427 are 3, 7, 2687. Prime factorization of 56427 in exponential form is:

56427 = 3¹ × 7¹ × 2687¹

Step-3: Factors of 56420

List of positive integer factors of 56420 that divides 56420 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

Step-4: Factors of 56427

List of positive integer factors of 56427 that divides 56420 without a remainder.

1, 3, 7, 21, 2687, 8061, 18809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56420 and 56427. The biggest common factor number is the GCF number.
So the greatest common factor 56420 and 56427 is 7.

Also check out the Least Common Multiple of 56420 and 56427