What is the Greatest Common Factor of 89718 and 89737?

Greatest common factor (GCF) of 89718 and 89737 is 19.

GCF(89718,89737) = 19

We will now calculate the prime factors of 89718 and 89737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89718 and 89737.

How to find the GCF of 89718 and 89737?

We will first find the prime factorization of 89718 and 89737. After we will calculate the factors of 89718 and 89737 and find the biggest common factor number .

Step-1: Prime Factorization of 89718

Prime factors of 89718 are 2, 3, 19, 787. Prime factorization of 89718 in exponential form is:

89718 = 2¹ × 3¹ × 19¹ × 787¹

Step-2: Prime Factorization of 89737

Prime factors of 89737 are 19, 4723. Prime factorization of 89737 in exponential form is:

89737 = 19¹ × 4723¹

Step-3: Factors of 89718

List of positive integer factors of 89718 that divides 89718 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 787, 1574, 2361, 4722, 14953, 29906, 44859

Step-4: Factors of 89737

List of positive integer factors of 89737 that divides 89718 without a remainder.

1, 19, 4723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89718 and 89737. The biggest common factor number is the GCF number.
So the greatest common factor 89718 and 89737 is 19.

Also check out the Least Common Multiple of 89718 and 89737