What is the Greatest Common Factor of 88035 and 88040?

Greatest common factor (GCF) of 88035 and 88040 is 5.

GCF(88035,88040) = 5

We will now calculate the prime factors of 88035 and 88040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88035 and 88040.

How to find the GCF of 88035 and 88040?

We will first find the prime factorization of 88035 and 88040. After we will calculate the factors of 88035 and 88040 and find the biggest common factor number .

Step-1: Prime Factorization of 88035

Prime factors of 88035 are 3, 5, 5869. Prime factorization of 88035 in exponential form is:

88035 = 3¹ × 5¹ × 5869¹

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 88035

List of positive integer factors of 88035 that divides 88035 without a remainder.

1, 3, 5, 15, 5869, 17607, 29345

Step-4: Factors of 88040

List of positive integer factors of 88040 that divides 88035 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 88035 and 88040. The biggest common factor number is the GCF number.
So the greatest common factor 88035 and 88040 is 5.

Also check out the Least Common Multiple of 88035 and 88040