What is the Greatest Common Factor of 88240 and 88250?

Greatest common factor (GCF) of 88240 and 88250 is 10.

GCF(88240,88250) = 10

We will now calculate the prime factors of 88240 and 88250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88240 and 88250.

How to find the GCF of 88240 and 88250?

We will first find the prime factorization of 88240 and 88250. After we will calculate the factors of 88240 and 88250 and find the biggest common factor number .

Step-1: Prime Factorization of 88240

Prime factors of 88240 are 2, 5, 1103. Prime factorization of 88240 in exponential form is:

88240 = 2⁴ × 5¹ × 1103¹

Step-2: 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-3: Factors of 88240

List of positive integer factors of 88240 that divides 88240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1103, 2206, 4412, 5515, 8824, 11030, 17648, 22060, 44120

Step-4: Factors of 88250

List of positive integer factors of 88250 that divides 88240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88240 and 88250. The biggest common factor number is the GCF number.
So the greatest common factor 88240 and 88250 is 10.

Also check out the Least Common Multiple of 88240 and 88250