What is the Greatest Common Factor of 89713 and 89720?

Greatest common factor (GCF) of 89713 and 89720 is 1.

GCF(89713,89720) = 1

We will now calculate the prime factors of 89713 and 89720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89713 and 89720.

How to find the GCF of 89713 and 89720?

We will first find the prime factorization of 89713 and 89720. After we will calculate the factors of 89713 and 89720 and find the biggest common factor number .

Step-1: Prime Factorization of 89713

Prime factors of 89713 are 13, 67, 103. Prime factorization of 89713 in exponential form is:

89713 = 13¹ × 67¹ × 103¹

Step-2: 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-3: Factors of 89713

List of positive integer factors of 89713 that divides 89713 without a remainder.

1, 13, 67, 103, 871, 1339, 6901

Step-4: Factors of 89720

List of positive integer factors of 89720 that divides 89713 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89713 and 89720. The biggest common factor number is the GCF number.
So the greatest common factor 89713 and 89720 is 1.

Also check out the Least Common Multiple of 89713 and 89720