What is the Greatest Common Factor of 88034 and 88040?

Greatest common factor (GCF) of 88034 and 88040 is 2.

GCF(88034,88040) = 2

We will now calculate the prime factors of 88034 and 88040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88034 and 88040.

How to find the GCF of 88034 and 88040?

We will first find the prime factorization of 88034 and 88040. After we will calculate the factors of 88034 and 88040 and find the biggest common factor number .

Step-1: Prime Factorization of 88034

Prime factors of 88034 are 2, 44017. Prime factorization of 88034 in exponential form is:

88034 = 2¹ × 44017¹

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 88034

List of positive integer factors of 88034 that divides 88034 without a remainder.

1, 2, 44017

Step-4: Factors of 88040

List of positive integer factors of 88040 that divides 88034 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 88034 and 88040. The biggest common factor number is the GCF number.
So the greatest common factor 88034 and 88040 is 2.

Also check out the Least Common Multiple of 88034 and 88040