What is the Greatest Common Factor of 5070 and 5075?

Greatest common factor (GCF) of 5070 and 5075 is 5.

GCF(5070,5075) = 5

We will now calculate the prime factors of 5070 and 5075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5070 and 5075.

How to find the GCF of 5070 and 5075?

We will first find the prime factorization of 5070 and 5075. After we will calculate the factors of 5070 and 5075 and find the biggest common factor number .

Step-1: Prime Factorization of 5070

Prime factors of 5070 are 2, 3, 5, 13. Prime factorization of 5070 in exponential form is:

5070 = 2¹ × 3¹ × 5¹ × 13²

Step-2: Prime Factorization of 5075

Prime factors of 5075 are 5, 7, 29. Prime factorization of 5075 in exponential form is:

5075 = 5² × 7¹ × 29¹

Step-3: Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535

Step-4: Factors of 5075

List of positive integer factors of 5075 that divides 5070 without a remainder.

1, 5, 7, 25, 29, 35, 145, 175, 203, 725, 1015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5070 and 5075. The biggest common factor number is the GCF number.
So the greatest common factor 5070 and 5075 is 5.

Also check out the Least Common Multiple of 5070 and 5075