What is the Greatest Common Factor of 89663 and 89670?

Greatest common factor (GCF) of 89663 and 89670 is 7.

GCF(89663,89670) = 7

We will now calculate the prime factors of 89663 and 89670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89663 and 89670.

How to find the GCF of 89663 and 89670?

We will first find the prime factorization of 89663 and 89670. After we will calculate the factors of 89663 and 89670 and find the biggest common factor number .

Step-1: Prime Factorization of 89663

Prime factors of 89663 are 7, 12809. Prime factorization of 89663 in exponential form is:

89663 = 7¹ × 12809¹

Step-2: Prime Factorization of 89670

Prime factors of 89670 are 2, 3, 5, 7, 61. Prime factorization of 89670 in exponential form is:

89670 = 2¹ × 3¹ × 5¹ × 7² × 61¹

Step-3: Factors of 89663

List of positive integer factors of 89663 that divides 89663 without a remainder.

1, 7, 12809

Step-4: Factors of 89670

List of positive integer factors of 89670 that divides 89663 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 61, 70, 98, 105, 122, 147, 183, 210, 245, 294, 305, 366, 427, 490, 610, 735, 854, 915, 1281, 1470, 1830, 2135, 2562, 2989, 4270, 5978, 6405, 8967, 12810, 14945, 17934, 29890, 44835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89663 and 89670. The biggest common factor number is the GCF number.
So the greatest common factor 89663 and 89670 is 7.

Also check out the Least Common Multiple of 89663 and 89670