What is the Greatest Common Factor of 89058 and 89070?

Greatest common factor (GCF) of 89058 and 89070 is 6.

GCF(89058,89070) = 6

We will now calculate the prime factors of 89058 and 89070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89058 and 89070.

How to find the GCF of 89058 and 89070?

We will first find the prime factorization of 89058 and 89070. After we will calculate the factors of 89058 and 89070 and find the biggest common factor number .

Step-1: Prime Factorization of 89058

Prime factors of 89058 are 2, 3, 14843. Prime factorization of 89058 in exponential form is:

89058 = 2¹ × 3¹ × 14843¹

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 89058

List of positive integer factors of 89058 that divides 89058 without a remainder.

1, 2, 3, 6, 14843, 29686, 44529

Step-4: Factors of 89070

List of positive integer factors of 89070 that divides 89058 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 89058 and 89070. The biggest common factor number is the GCF number.
So the greatest common factor 89058 and 89070 is 6.

Also check out the Least Common Multiple of 89058 and 89070