What is the Greatest Common Factor of 89200 and 89220?

Greatest common factor (GCF) of 89200 and 89220 is 20.

GCF(89200,89220) = 20

We will now calculate the prime factors of 89200 and 89220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89200 and 89220.

How to find the GCF of 89200 and 89220?

We will first find the prime factorization of 89200 and 89220. After we will calculate the factors of 89200 and 89220 and find the biggest common factor number .

Step-1: Prime Factorization of 89200

Prime factors of 89200 are 2, 5, 223. Prime factorization of 89200 in exponential form is:

89200 = 2⁴ × 5² × 223¹

Step-2: Prime Factorization of 89220

Prime factors of 89220 are 2, 3, 5, 1487. Prime factorization of 89220 in exponential form is:

89220 = 2² × 3¹ × 5¹ × 1487¹

Step-3: Factors of 89200

List of positive integer factors of 89200 that divides 89200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 223, 400, 446, 892, 1115, 1784, 2230, 3568, 4460, 5575, 8920, 11150, 17840, 22300, 44600

Step-4: Factors of 89220

List of positive integer factors of 89220 that divides 89200 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1487, 2974, 4461, 5948, 7435, 8922, 14870, 17844, 22305, 29740, 44610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89200 and 89220. The biggest common factor number is the GCF number.
So the greatest common factor 89200 and 89220 is 20.

Also check out the Least Common Multiple of 89200 and 89220