What is the Greatest Common Factor of 87980 and 88000?

Greatest common factor (GCF) of 87980 and 88000 is 20.

GCF(87980,88000) = 20

We will now calculate the prime factors of 87980 and 88000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87980 and 88000.

How to find the GCF of 87980 and 88000?

We will first find the prime factorization of 87980 and 88000. After we will calculate the factors of 87980 and 88000 and find the biggest common factor number .

Step-1: Prime Factorization of 87980

Prime factors of 87980 are 2, 5, 53, 83. Prime factorization of 87980 in exponential form is:

87980 = 2² × 5¹ × 53¹ × 83¹

Step-2: Prime Factorization of 88000

Prime factors of 88000 are 2, 5, 11. Prime factorization of 88000 in exponential form is:

88000 = 2⁶ × 5³ × 11¹

Step-3: Factors of 87980

List of positive integer factors of 87980 that divides 87980 without a remainder.

1, 2, 4, 5, 10, 20, 53, 83, 106, 166, 212, 265, 332, 415, 530, 830, 1060, 1660, 4399, 8798, 17596, 21995, 43990

Step-4: Factors of 88000

List of positive integer factors of 88000 that divides 87980 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 320, 352, 400, 440, 500, 550, 704, 800, 880, 1000, 1100, 1375, 1600, 1760, 2000, 2200, 2750, 3520, 4000, 4400, 5500, 8000, 8800, 11000, 17600, 22000, 44000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87980 and 88000. The biggest common factor number is the GCF number.
So the greatest common factor 87980 and 88000 is 20.

Also check out the Least Common Multiple of 87980 and 88000