What is the Greatest Common Factor of 88250 and 88265?

Greatest common factor (GCF) of 88250 and 88265 is 5.

GCF(88250,88265) = 5

We will now calculate the prime factors of 88250 and 88265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88250 and 88265.

How to find the GCF of 88250 and 88265?

We will first find the prime factorization of 88250 and 88265. After we will calculate the factors of 88250 and 88265 and find the biggest common factor number .

Step-1: Prime Factorization of 88250

Prime factors of 88250 are 2, 5, 353. Prime factorization of 88250 in exponential form is:

88250 = 2¹ × 5³ × 353¹

Step-2: Prime Factorization of 88265

Prime factors of 88265 are 5, 127, 139. Prime factorization of 88265 in exponential form is:

88265 = 5¹ × 127¹ × 139¹

Step-3: Factors of 88250

List of positive integer factors of 88250 that divides 88250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 353, 706, 1765, 3530, 8825, 17650, 44125

Step-4: Factors of 88265

List of positive integer factors of 88265 that divides 88250 without a remainder.

1, 5, 127, 139, 635, 695, 17653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88250 and 88265. The biggest common factor number is the GCF number.
So the greatest common factor 88250 and 88265 is 5.

Also check out the Least Common Multiple of 88250 and 88265