What is the Greatest Common Factor of 89900 and 89907?

Greatest common factor (GCF) of 89900 and 89907 is 1.

GCF(89900,89907) = 1

We will now calculate the prime factors of 89900 and 89907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89900 and 89907.

How to find the GCF of 89900 and 89907?

We will first find the prime factorization of 89900 and 89907. After we will calculate the factors of 89900 and 89907 and find the biggest common factor number .

Step-1: Prime Factorization of 89900

Prime factors of 89900 are 2, 5, 29, 31. Prime factorization of 89900 in exponential form is:

89900 = 2² × 5² × 29¹ × 31¹

Step-2: Prime Factorization of 89907

Prime factors of 89907 are 3, 23, 1303. Prime factorization of 89907 in exponential form is:

89907 = 3¹ × 23¹ × 1303¹

Step-3: Factors of 89900

List of positive integer factors of 89900 that divides 89900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 31, 50, 58, 62, 100, 116, 124, 145, 155, 290, 310, 580, 620, 725, 775, 899, 1450, 1550, 1798, 2900, 3100, 3596, 4495, 8990, 17980, 22475, 44950

Step-4: Factors of 89907

List of positive integer factors of 89907 that divides 89900 without a remainder.

1, 3, 23, 69, 1303, 3909, 29969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89900 and 89907. The biggest common factor number is the GCF number.
So the greatest common factor 89900 and 89907 is 1.

Also check out the Least Common Multiple of 89900 and 89907