What is the Greatest Common Factor of 89720 and 89725?

Greatest common factor (GCF) of 89720 and 89725 is 5.

GCF(89720,89725) = 5

We will now calculate the prime factors of 89720 and 89725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89720 and 89725.

How to find the GCF of 89720 and 89725?

We will first find the prime factorization of 89720 and 89725. After we will calculate the factors of 89720 and 89725 and find the biggest common factor number .

Step-1: Prime Factorization of 89720

Prime factors of 89720 are 2, 5, 2243. Prime factorization of 89720 in exponential form is:

89720 = 2³ × 5¹ × 2243¹

Step-2: Prime Factorization of 89725

Prime factors of 89725 are 5, 37, 97. Prime factorization of 89725 in exponential form is:

89725 = 5² × 37¹ × 97¹

Step-3: Factors of 89720

List of positive integer factors of 89720 that divides 89720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2243, 4486, 8972, 11215, 17944, 22430, 44860

Step-4: Factors of 89725

List of positive integer factors of 89725 that divides 89720 without a remainder.

1, 5, 25, 37, 97, 185, 485, 925, 2425, 3589, 17945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89720 and 89725. The biggest common factor number is the GCF number.
So the greatest common factor 89720 and 89725 is 5.

Also check out the Least Common Multiple of 89720 and 89725