What is the Greatest Common Factor of 80225 and 80240?

Greatest common factor (GCF) of 80225 and 80240 is 5.

GCF(80225,80240) = 5

We will now calculate the prime factors of 80225 and 80240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80225 and 80240.

How to find the GCF of 80225 and 80240?

We will first find the prime factorization of 80225 and 80240. After we will calculate the factors of 80225 and 80240 and find the biggest common factor number .

Step-1: Prime Factorization of 80225

Prime factors of 80225 are 5, 3209. Prime factorization of 80225 in exponential form is:

80225 = 5² × 3209¹

Step-2: Prime Factorization of 80240

Prime factors of 80240 are 2, 5, 17, 59. Prime factorization of 80240 in exponential form is:

80240 = 2⁴ × 5¹ × 17¹ × 59¹

Step-3: Factors of 80225

List of positive integer factors of 80225 that divides 80225 without a remainder.

1, 5, 25, 3209, 16045

Step-4: Factors of 80240

List of positive integer factors of 80240 that divides 80225 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 59, 68, 80, 85, 118, 136, 170, 236, 272, 295, 340, 472, 590, 680, 944, 1003, 1180, 1360, 2006, 2360, 4012, 4720, 5015, 8024, 10030, 16048, 20060, 40120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80225 and 80240. The biggest common factor number is the GCF number.
So the greatest common factor 80225 and 80240 is 5.

Also check out the Least Common Multiple of 80225 and 80240