What is the Greatest Common Factor of 88252 and 88270?

Greatest common factor (GCF) of 88252 and 88270 is 2.

GCF(88252,88270) = 2

We will now calculate the prime factors of 88252 and 88270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88252 and 88270.

How to find the GCF of 88252 and 88270?

We will first find the prime factorization of 88252 and 88270. After we will calculate the factors of 88252 and 88270 and find the biggest common factor number .

Step-1: Prime Factorization of 88252

Prime factors of 88252 are 2, 22063. Prime factorization of 88252 in exponential form is:

88252 = 2² × 22063¹

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 88252

List of positive integer factors of 88252 that divides 88252 without a remainder.

1, 2, 4, 22063, 44126

Step-4: Factors of 88270

List of positive integer factors of 88270 that divides 88252 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 88252 and 88270. The biggest common factor number is the GCF number.
So the greatest common factor 88252 and 88270 is 2.

Also check out the Least Common Multiple of 88252 and 88270