What is the Greatest Common Factor of 88980 and 88985?

Greatest common factor (GCF) of 88980 and 88985 is 5.

GCF(88980,88985) = 5

We will now calculate the prime factors of 88980 and 88985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88980 and 88985.

How to find the GCF of 88980 and 88985?

We will first find the prime factorization of 88980 and 88985. After we will calculate the factors of 88980 and 88985 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 88985

Prime factors of 88985 are 5, 13, 37. Prime factorization of 88985 in exponential form is:

88985 = 5¹ × 13¹ × 37²

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 88985

List of positive integer factors of 88985 that divides 88980 without a remainder.

1, 5, 13, 37, 65, 185, 481, 1369, 2405, 6845, 17797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88980 and 88985. The biggest common factor number is the GCF number.
So the greatest common factor 88980 and 88985 is 5.

Also check out the Least Common Multiple of 88980 and 88985