What is the Greatest Common Factor of 88226 and 88240?

Greatest common factor (GCF) of 88226 and 88240 is 2.

GCF(88226,88240) = 2

We will now calculate the prime factors of 88226 and 88240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88226 and 88240.

How to find the GCF of 88226 and 88240?

We will first find the prime factorization of 88226 and 88240. After we will calculate the factors of 88226 and 88240 and find the biggest common factor number .

Step-1: Prime Factorization of 88226

Prime factors of 88226 are 2, 31, 1423. Prime factorization of 88226 in exponential form is:

88226 = 2¹ × 31¹ × 1423¹

Step-2: 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-3: Factors of 88226

List of positive integer factors of 88226 that divides 88226 without a remainder.

1, 2, 31, 62, 1423, 2846, 44113

Step-4: Factors of 88240

List of positive integer factors of 88240 that divides 88226 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88226 and 88240. The biggest common factor number is the GCF number.
So the greatest common factor 88226 and 88240 is 2.

Also check out the Least Common Multiple of 88226 and 88240