What is the Greatest Common Factor of 89054 and 89068?

Greatest common factor (GCF) of 89054 and 89068 is 14.

GCF(89054,89068) = 14

We will now calculate the prime factors of 89054 and 89068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89054 and 89068.

How to find the GCF of 89054 and 89068?

We will first find the prime factorization of 89054 and 89068. After we will calculate the factors of 89054 and 89068 and find the biggest common factor number .

Step-1: Prime Factorization of 89054

Prime factors of 89054 are 2, 7, 6361. Prime factorization of 89054 in exponential form is:

89054 = 2¹ × 7¹ × 6361¹

Step-2: Prime Factorization of 89068

Prime factors of 89068 are 2, 7, 3181. Prime factorization of 89068 in exponential form is:

89068 = 2² × 7¹ × 3181¹

Step-3: Factors of 89054

List of positive integer factors of 89054 that divides 89054 without a remainder.

1, 2, 7, 14, 6361, 12722, 44527

Step-4: Factors of 89068

List of positive integer factors of 89068 that divides 89054 without a remainder.

1, 2, 4, 7, 14, 28, 3181, 6362, 12724, 22267, 44534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89054 and 89068. The biggest common factor number is the GCF number.
So the greatest common factor 89054 and 89068 is 14.

Also check out the Least Common Multiple of 89054 and 89068