What is the Greatest Common Factor of 89660 and 89670?

Greatest common factor (GCF) of 89660 and 89670 is 10.

GCF(89660,89670) = 10

We will now calculate the prime factors of 89660 and 89670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89660 and 89670.

How to find the GCF of 89660 and 89670?

We will first find the prime factorization of 89660 and 89670. After we will calculate the factors of 89660 and 89670 and find the biggest common factor number .

Step-1: Prime Factorization of 89660

Prime factors of 89660 are 2, 5, 4483. Prime factorization of 89660 in exponential form is:

89660 = 2² × 5¹ × 4483¹

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 89660

List of positive integer factors of 89660 that divides 89660 without a remainder.

1, 2, 4, 5, 10, 20, 4483, 8966, 17932, 22415, 44830

Step-4: Factors of 89670

List of positive integer factors of 89670 that divides 89660 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 89660 and 89670. The biggest common factor number is the GCF number.
So the greatest common factor 89660 and 89670 is 10.

Also check out the Least Common Multiple of 89660 and 89670