What is the Greatest Common Factor of 89055 and 89070?

Greatest common factor (GCF) of 89055 and 89070 is 15.

GCF(89055,89070) = 15

We will now calculate the prime factors of 89055 and 89070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89055 and 89070.

How to find the GCF of 89055 and 89070?

We will first find the prime factorization of 89055 and 89070. After we will calculate the factors of 89055 and 89070 and find the biggest common factor number .

Step-1: Prime Factorization of 89055

Prime factors of 89055 are 3, 5, 1979. Prime factorization of 89055 in exponential form is:

89055 = 3² × 5¹ × 1979¹

Step-2: 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-3: Factors of 89055

List of positive integer factors of 89055 that divides 89055 without a remainder.

1, 3, 5, 9, 15, 45, 1979, 5937, 9895, 17811, 29685

Step-4: Factors of 89070

List of positive integer factors of 89070 that divides 89055 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89055 and 89070. The biggest common factor number is the GCF number.
So the greatest common factor 89055 and 89070 is 15.

Also check out the Least Common Multiple of 89055 and 89070