What is the Greatest Common Factor of 88250 and 88270?

Greatest common factor (GCF) of 88250 and 88270 is 10.

GCF(88250,88270) = 10

We will now calculate the prime factors of 88250 and 88270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88250 and 88270.

How to find the GCF of 88250 and 88270?

We will first find the prime factorization of 88250 and 88270. After we will calculate the factors of 88250 and 88270 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 88270

Prime factors of 88270 are 2, 5, 7, 13, 97. Prime factorization of 88270 in exponential form is:

88270 = 2¹ × 5¹ × 7¹ × 13¹ × 97¹

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 88270

List of positive integer factors of 88270 that divides 88250 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 97, 130, 182, 194, 455, 485, 679, 910, 970, 1261, 1358, 2522, 3395, 6305, 6790, 8827, 12610, 17654, 44135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88250 and 88270. The biggest common factor number is the GCF number.
So the greatest common factor 88250 and 88270 is 10.

Also check out the Least Common Multiple of 88250 and 88270