What is the Greatest Common Factor of 89720 and 89735?

Greatest common factor (GCF) of 89720 and 89735 is 5.

GCF(89720,89735) = 5

We will now calculate the prime factors of 89720 and 89735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89720 and 89735.

How to find the GCF of 89720 and 89735?

We will first find the prime factorization of 89720 and 89735. After we will calculate the factors of 89720 and 89735 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 89735

Prime factors of 89735 are 5, 131, 137. Prime factorization of 89735 in exponential form is:

89735 = 5¹ × 131¹ × 137¹

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 89735

List of positive integer factors of 89735 that divides 89720 without a remainder.

1, 5, 131, 137, 655, 685, 17947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89720 and 89735. The biggest common factor number is the GCF number.
So the greatest common factor 89720 and 89735 is 5.

Also check out the Least Common Multiple of 89720 and 89735