What is the Greatest Common Factor of 89701 and 89720?

Greatest common factor (GCF) of 89701 and 89720 is 1.

GCF(89701,89720) = 1

We will now calculate the prime factors of 89701 and 89720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89701 and 89720.

How to find the GCF of 89701 and 89720?

We will first find the prime factorization of 89701 and 89720. After we will calculate the factors of 89701 and 89720 and find the biggest common factor number .

Step-1: Prime Factorization of 89701

Prime factors of 89701 are 271, 331. Prime factorization of 89701 in exponential form is:

89701 = 271¹ × 331¹

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 89701

List of positive integer factors of 89701 that divides 89701 without a remainder.

1, 271, 331

Step-4: Factors of 89720

List of positive integer factors of 89720 that divides 89701 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 89701 and 89720. The biggest common factor number is the GCF number.
So the greatest common factor 89701 and 89720 is 1.

Also check out the Least Common Multiple of 89701 and 89720