What is the Greatest Common Factor of 88040 and 88050?

Greatest common factor (GCF) of 88040 and 88050 is 10.

GCF(88040,88050) = 10

We will now calculate the prime factors of 88040 and 88050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88040 and 88050.

How to find the GCF of 88040 and 88050?

We will first find the prime factorization of 88040 and 88050. After we will calculate the factors of 88040 and 88050 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88050

Prime factors of 88050 are 2, 3, 5, 587. Prime factorization of 88050 in exponential form is:

88050 = 2¹ × 3¹ × 5² × 587¹

Step-3: Factors of 88040

List of positive integer factors of 88040 that divides 88040 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

Step-4: Factors of 88050

List of positive integer factors of 88050 that divides 88040 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 587, 1174, 1761, 2935, 3522, 5870, 8805, 14675, 17610, 29350, 44025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88040 and 88050. The biggest common factor number is the GCF number.
So the greatest common factor 88040 and 88050 is 10.

Also check out the Least Common Multiple of 88040 and 88050