What is the Greatest Common Factor of 89078 and 89094?

Greatest common factor (GCF) of 89078 and 89094 is 2.

GCF(89078,89094) = 2

We will now calculate the prime factors of 89078 and 89094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89078 and 89094.

How to find the GCF of 89078 and 89094?

We will first find the prime factorization of 89078 and 89094. After we will calculate the factors of 89078 and 89094 and find the biggest common factor number .

Step-1: Prime Factorization of 89078

Prime factors of 89078 are 2, 11, 4049. Prime factorization of 89078 in exponential form is:

89078 = 2¹ × 11¹ × 4049¹

Step-2: Prime Factorization of 89094

Prime factors of 89094 are 2, 3, 31, 479. Prime factorization of 89094 in exponential form is:

89094 = 2¹ × 3¹ × 31¹ × 479¹

Step-3: Factors of 89078

List of positive integer factors of 89078 that divides 89078 without a remainder.

1, 2, 11, 22, 4049, 8098, 44539

Step-4: Factors of 89094

List of positive integer factors of 89094 that divides 89078 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 479, 958, 1437, 2874, 14849, 29698, 44547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89078 and 89094. The biggest common factor number is the GCF number.
So the greatest common factor 89078 and 89094 is 2.

Also check out the Least Common Multiple of 89078 and 89094