What is the Greatest Common Factor of 89509 and 89516?

Greatest common factor (GCF) of 89509 and 89516 is 7.

GCF(89509,89516) = 7

We will now calculate the prime factors of 89509 and 89516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89509 and 89516.

How to find the GCF of 89509 and 89516?

We will first find the prime factorization of 89509 and 89516. After we will calculate the factors of 89509 and 89516 and find the biggest common factor number .

Step-1: Prime Factorization of 89509

Prime factors of 89509 are 7, 19, 673. Prime factorization of 89509 in exponential form is:

89509 = 7¹ × 19¹ × 673¹

Step-2: Prime Factorization of 89516

Prime factors of 89516 are 2, 7, 23, 139. Prime factorization of 89516 in exponential form is:

89516 = 2² × 7¹ × 23¹ × 139¹

Step-3: Factors of 89509

List of positive integer factors of 89509 that divides 89509 without a remainder.

1, 7, 19, 133, 673, 4711, 12787

Step-4: Factors of 89516

List of positive integer factors of 89516 that divides 89509 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 139, 161, 278, 322, 556, 644, 973, 1946, 3197, 3892, 6394, 12788, 22379, 44758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89509 and 89516. The biggest common factor number is the GCF number.
So the greatest common factor 89509 and 89516 is 7.

Also check out the Least Common Multiple of 89509 and 89516