What is the Greatest Common Factor of 88022 and 88040?

Greatest common factor (GCF) of 88022 and 88040 is 2.

GCF(88022,88040) = 2

We will now calculate the prime factors of 88022 and 88040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88022 and 88040.

How to find the GCF of 88022 and 88040?

We will first find the prime factorization of 88022 and 88040. After we will calculate the factors of 88022 and 88040 and find the biggest common factor number .

Step-1: Prime Factorization of 88022

Prime factors of 88022 are 2, 11, 4001. Prime factorization of 88022 in exponential form is:

88022 = 2¹ × 11¹ × 4001¹

Step-2: Prime Factorization of 88040

Prime factors of 88040 are 2, 5, 31, 71. Prime factorization of 88040 in exponential form is:

88040 = 2³ × 5¹ × 31¹ × 71¹

Step-3: Factors of 88022

List of positive integer factors of 88022 that divides 88022 without a remainder.

1, 2, 11, 22, 4001, 8002, 44011

Step-4: Factors of 88040

List of positive integer factors of 88040 that divides 88022 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 71, 124, 142, 155, 248, 284, 310, 355, 568, 620, 710, 1240, 1420, 2201, 2840, 4402, 8804, 11005, 17608, 22010, 44020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88022 and 88040. The biggest common factor number is the GCF number.
So the greatest common factor 88022 and 88040 is 2.

Also check out the Least Common Multiple of 88022 and 88040