What is the Greatest Common Factor of 88980 and 89000?

Greatest common factor (GCF) of 88980 and 89000 is 20.

GCF(88980,89000) = 20

We will now calculate the prime factors of 88980 and 89000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88980 and 89000.

How to find the GCF of 88980 and 89000?

We will first find the prime factorization of 88980 and 89000. After we will calculate the factors of 88980 and 89000 and find the biggest common factor number .

Step-1: Prime Factorization of 88980

Prime factors of 88980 are 2, 3, 5, 1483. Prime factorization of 88980 in exponential form is:

88980 = 2² × 3¹ × 5¹ × 1483¹

Step-2: Prime Factorization of 89000

Prime factors of 89000 are 2, 5, 89. Prime factorization of 89000 in exponential form is:

89000 = 2³ × 5³ × 89¹

Step-3: Factors of 88980

List of positive integer factors of 88980 that divides 88980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1483, 2966, 4449, 5932, 7415, 8898, 14830, 17796, 22245, 29660, 44490

Step-4: Factors of 89000

List of positive integer factors of 89000 that divides 88980 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 89, 100, 125, 178, 200, 250, 356, 445, 500, 712, 890, 1000, 1780, 2225, 3560, 4450, 8900, 11125, 17800, 22250, 44500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88980 and 89000. The biggest common factor number is the GCF number.
So the greatest common factor 88980 and 89000 is 20.

Also check out the Least Common Multiple of 88980 and 89000