What is the Greatest Common Factor of 80240 and 80250?

Greatest common factor (GCF) of 80240 and 80250 is 10.

GCF(80240,80250) = 10

We will now calculate the prime factors of 80240 and 80250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80240 and 80250.

How to find the GCF of 80240 and 80250?

We will first find the prime factorization of 80240 and 80250. After we will calculate the factors of 80240 and 80250 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80250

Prime factors of 80250 are 2, 3, 5, 107. Prime factorization of 80250 in exponential form is:

80250 = 2¹ × 3¹ × 5³ × 107¹

Step-3: Factors of 80240

List of positive integer factors of 80240 that divides 80240 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

Step-4: Factors of 80250

List of positive integer factors of 80250 that divides 80240 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 107, 125, 150, 214, 250, 321, 375, 535, 642, 750, 1070, 1605, 2675, 3210, 5350, 8025, 13375, 16050, 26750, 40125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80240 and 80250. The biggest common factor number is the GCF number.
So the greatest common factor 80240 and 80250 is 10.

Also check out the Least Common Multiple of 80240 and 80250