What is the Greatest Common Factor of 56133 and 56140?

Greatest common factor (GCF) of 56133 and 56140 is 7.

GCF(56133,56140) = 7

We will now calculate the prime factors of 56133 and 56140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56133 and 56140.

How to find the GCF of 56133 and 56140?

We will first find the prime factorization of 56133 and 56140. After we will calculate the factors of 56133 and 56140 and find the biggest common factor number .

Step-1: Prime Factorization of 56133

Prime factors of 56133 are 3, 7, 11. Prime factorization of 56133 in exponential form is:

56133 = 3⁶ × 7¹ × 11¹

Step-2: Prime Factorization of 56140

Prime factors of 56140 are 2, 5, 7, 401. Prime factorization of 56140 in exponential form is:

56140 = 2² × 5¹ × 7¹ × 401¹

Step-3: Factors of 56133

List of positive integer factors of 56133 that divides 56133 without a remainder.

1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 243, 297, 567, 693, 729, 891, 1701, 2079, 2673, 5103, 6237, 8019, 18711

Step-4: Factors of 56140

List of positive integer factors of 56140 that divides 56133 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 401, 802, 1604, 2005, 2807, 4010, 5614, 8020, 11228, 14035, 28070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56133 and 56140. The biggest common factor number is the GCF number.
So the greatest common factor 56133 and 56140 is 7.

Also check out the Least Common Multiple of 56133 and 56140