What is the Greatest Common Factor of 81200 and 81220?

Greatest common factor (GCF) of 81200 and 81220 is 20.

GCF(81200,81220) = 20

We will now calculate the prime factors of 81200 and 81220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81200 and 81220.

How to find the GCF of 81200 and 81220?

We will first find the prime factorization of 81200 and 81220. After we will calculate the factors of 81200 and 81220 and find the biggest common factor number .

Step-1: Prime Factorization of 81200

Prime factors of 81200 are 2, 5, 7, 29. Prime factorization of 81200 in exponential form is:

81200 = 2⁴ × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 81220

Prime factors of 81220 are 2, 5, 31, 131. Prime factorization of 81220 in exponential form is:

81220 = 2² × 5¹ × 31¹ × 131¹

Step-3: Factors of 81200

List of positive integer factors of 81200 that divides 81200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 29, 35, 40, 50, 56, 58, 70, 80, 100, 112, 116, 140, 145, 175, 200, 203, 232, 280, 290, 350, 400, 406, 464, 560, 580, 700, 725, 812, 1015, 1160, 1400, 1450, 1624, 2030, 2320, 2800, 2900, 3248, 4060, 5075, 5800, 8120, 10150, 11600, 16240, 20300, 40600

Step-4: Factors of 81220

List of positive integer factors of 81220 that divides 81200 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 131, 155, 262, 310, 524, 620, 655, 1310, 2620, 4061, 8122, 16244, 20305, 40610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81200 and 81220. The biggest common factor number is the GCF number.
So the greatest common factor 81200 and 81220 is 20.

Also check out the Least Common Multiple of 81200 and 81220