What is the Greatest Common Factor of 83250 and 83265?

Greatest common factor (GCF) of 83250 and 83265 is 15.

GCF(83250,83265) = 15

We will now calculate the prime factors of 83250 and 83265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83250 and 83265.

How to find the GCF of 83250 and 83265?

We will first find the prime factorization of 83250 and 83265. After we will calculate the factors of 83250 and 83265 and find the biggest common factor number .

Step-1: Prime Factorization of 83250

Prime factors of 83250 are 2, 3, 5, 37. Prime factorization of 83250 in exponential form is:

83250 = 2¹ × 3² × 5³ × 37¹

Step-2: Prime Factorization of 83265

Prime factors of 83265 are 3, 5, 7, 13, 61. Prime factorization of 83265 in exponential form is:

83265 = 3¹ × 5¹ × 7¹ × 13¹ × 61¹

Step-3: Factors of 83250

List of positive integer factors of 83250 that divides 83250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 37, 45, 50, 74, 75, 90, 111, 125, 150, 185, 222, 225, 250, 333, 370, 375, 450, 555, 666, 750, 925, 1110, 1125, 1665, 1850, 2250, 2775, 3330, 4625, 5550, 8325, 9250, 13875, 16650, 27750, 41625

Step-4: Factors of 83265

List of positive integer factors of 83265 that divides 83250 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 61, 65, 91, 105, 183, 195, 273, 305, 427, 455, 793, 915, 1281, 1365, 2135, 2379, 3965, 5551, 6405, 11895, 16653, 27755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83250 and 83265. The biggest common factor number is the GCF number.
So the greatest common factor 83250 and 83265 is 15.

Also check out the Least Common Multiple of 83250 and 83265