What is the Greatest Common Factor of 56070 and 56075?

Greatest common factor (GCF) of 56070 and 56075 is 5.

GCF(56070,56075) = 5

We will now calculate the prime factors of 56070 and 56075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56070 and 56075.

How to find the GCF of 56070 and 56075?

We will first find the prime factorization of 56070 and 56075. After we will calculate the factors of 56070 and 56075 and find the biggest common factor number .

Step-1: Prime Factorization of 56070

Prime factors of 56070 are 2, 3, 5, 7, 89. Prime factorization of 56070 in exponential form is:

56070 = 2¹ × 3² × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 56075

Prime factors of 56075 are 5, 2243. Prime factorization of 56075 in exponential form is:

56075 = 5² × 2243¹

Step-3: Factors of 56070

List of positive integer factors of 56070 that divides 56070 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 89, 90, 105, 126, 178, 210, 267, 315, 445, 534, 623, 630, 801, 890, 1246, 1335, 1602, 1869, 2670, 3115, 3738, 4005, 5607, 6230, 8010, 9345, 11214, 18690, 28035

Step-4: Factors of 56075

List of positive integer factors of 56075 that divides 56070 without a remainder.

1, 5, 25, 2243, 11215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56070 and 56075. The biggest common factor number is the GCF number.
So the greatest common factor 56070 and 56075 is 5.

Also check out the Least Common Multiple of 56070 and 56075