What is the Greatest Common Factor of 28070 and 28075?

Greatest common factor (GCF) of 28070 and 28075 is 5.

GCF(28070,28075) = 5

We will now calculate the prime factors of 28070 and 28075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28070 and 28075.

How to find the GCF of 28070 and 28075?

We will first find the prime factorization of 28070 and 28075. After we will calculate the factors of 28070 and 28075 and find the biggest common factor number .

Step-1: Prime Factorization of 28070

Prime factors of 28070 are 2, 5, 7, 401. Prime factorization of 28070 in exponential form is:

28070 = 2¹ × 5¹ × 7¹ × 401¹

Step-2: Prime Factorization of 28075

Prime factors of 28075 are 5, 1123. Prime factorization of 28075 in exponential form is:

28075 = 5² × 1123¹

Step-3: Factors of 28070

List of positive integer factors of 28070 that divides 28070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 401, 802, 2005, 2807, 4010, 5614, 14035

Step-4: Factors of 28075

List of positive integer factors of 28075 that divides 28070 without a remainder.

1, 5, 25, 1123, 5615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28070 and 28075. The biggest common factor number is the GCF number.
So the greatest common factor 28070 and 28075 is 5.

Also check out the Least Common Multiple of 28070 and 28075