What is the Greatest Common Factor of 89014 and 89020?

Greatest common factor (GCF) of 89014 and 89020 is 2.

GCF(89014,89020) = 2

We will now calculate the prime factors of 89014 and 89020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89014 and 89020.

How to find the GCF of 89014 and 89020?

We will first find the prime factorization of 89014 and 89020. After we will calculate the factors of 89014 and 89020 and find the biggest common factor number .

Step-1: Prime Factorization of 89014

Prime factors of 89014 are 2, 44507. Prime factorization of 89014 in exponential form is:

89014 = 2¹ × 44507¹

Step-2: Prime Factorization of 89020

Prime factors of 89020 are 2, 5, 4451. Prime factorization of 89020 in exponential form is:

89020 = 2² × 5¹ × 4451¹

Step-3: Factors of 89014

List of positive integer factors of 89014 that divides 89014 without a remainder.

1, 2, 44507

Step-4: Factors of 89020

List of positive integer factors of 89020 that divides 89014 without a remainder.

1, 2, 4, 5, 10, 20, 4451, 8902, 17804, 22255, 44510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89014 and 89020. The biggest common factor number is the GCF number.
So the greatest common factor 89014 and 89020 is 2.

Also check out the Least Common Multiple of 89014 and 89020