What is the Greatest Common Factor of 89072 and 89085?

Greatest common factor (GCF) of 89072 and 89085 is 1.

GCF(89072,89085) = 1

We will now calculate the prime factors of 89072 and 89085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89072 and 89085.

How to find the GCF of 89072 and 89085?

We will first find the prime factorization of 89072 and 89085. After we will calculate the factors of 89072 and 89085 and find the biggest common factor number .

Step-1: Prime Factorization of 89072

Prime factors of 89072 are 2, 19, 293. Prime factorization of 89072 in exponential form is:

89072 = 2⁴ × 19¹ × 293¹

Step-2: Prime Factorization of 89085

Prime factors of 89085 are 3, 5, 5939. Prime factorization of 89085 in exponential form is:

89085 = 3¹ × 5¹ × 5939¹

Step-3: Factors of 89072

List of positive integer factors of 89072 that divides 89072 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 293, 304, 586, 1172, 2344, 4688, 5567, 11134, 22268, 44536

Step-4: Factors of 89085

List of positive integer factors of 89085 that divides 89072 without a remainder.

1, 3, 5, 15, 5939, 17817, 29695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89072 and 89085. The biggest common factor number is the GCF number.
So the greatest common factor 89072 and 89085 is 1.

Also check out the Least Common Multiple of 89072 and 89085