What is the Greatest Common Factor of 89070 and 89075?

Greatest common factor (GCF) of 89070 and 89075 is 5.

GCF(89070,89075) = 5

We will now calculate the prime factors of 89070 and 89075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89070 and 89075.

How to find the GCF of 89070 and 89075?

We will first find the prime factorization of 89070 and 89075. After we will calculate the factors of 89070 and 89075 and find the biggest common factor number .

Step-1: Prime Factorization of 89070

Prime factors of 89070 are 2, 3, 5, 2969. Prime factorization of 89070 in exponential form is:

89070 = 2¹ × 3¹ × 5¹ × 2969¹

Step-2: Prime Factorization of 89075

Prime factors of 89075 are 5, 7, 509. Prime factorization of 89075 in exponential form is:

89075 = 5² × 7¹ × 509¹

Step-3: Factors of 89070

List of positive integer factors of 89070 that divides 89070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2969, 5938, 8907, 14845, 17814, 29690, 44535

Step-4: Factors of 89075

List of positive integer factors of 89075 that divides 89070 without a remainder.

1, 5, 7, 25, 35, 175, 509, 2545, 3563, 12725, 17815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89070 and 89075. The biggest common factor number is the GCF number.
So the greatest common factor 89070 and 89075 is 5.

Also check out the Least Common Multiple of 89070 and 89075