What is the Greatest Common Factor of 89080 and 89084?

Greatest common factor (GCF) of 89080 and 89084 is 4.

GCF(89080,89084) = 4

We will now calculate the prime factors of 89080 and 89084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89080 and 89084.

How to find the GCF of 89080 and 89084?

We will first find the prime factorization of 89080 and 89084. After we will calculate the factors of 89080 and 89084 and find the biggest common factor number .

Step-1: Prime Factorization of 89080

Prime factors of 89080 are 2, 5, 17, 131. Prime factorization of 89080 in exponential form is:

89080 = 2³ × 5¹ × 17¹ × 131¹

Step-2: Prime Factorization of 89084

Prime factors of 89084 are 2, 22271. Prime factorization of 89084 in exponential form is:

89084 = 2² × 22271¹

Step-3: Factors of 89080

List of positive integer factors of 89080 that divides 89080 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 131, 136, 170, 262, 340, 524, 655, 680, 1048, 1310, 2227, 2620, 4454, 5240, 8908, 11135, 17816, 22270, 44540

Step-4: Factors of 89084

List of positive integer factors of 89084 that divides 89080 without a remainder.

1, 2, 4, 22271, 44542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89080 and 89084. The biggest common factor number is the GCF number.
So the greatest common factor 89080 and 89084 is 4.

Also check out the Least Common Multiple of 89080 and 89084