What is the Greatest Common Factor of 89655 and 89670?

Greatest common factor (GCF) of 89655 and 89670 is 15.

GCF(89655,89670) = 15

We will now calculate the prime factors of 89655 and 89670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89655 and 89670.

How to find the GCF of 89655 and 89670?

We will first find the prime factorization of 89655 and 89670. After we will calculate the factors of 89655 and 89670 and find the biggest common factor number .

Step-1: Prime Factorization of 89655

Prime factors of 89655 are 3, 5, 43, 139. Prime factorization of 89655 in exponential form is:

89655 = 3¹ × 5¹ × 43¹ × 139¹

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 89655

List of positive integer factors of 89655 that divides 89655 without a remainder.

1, 3, 5, 15, 43, 129, 139, 215, 417, 645, 695, 2085, 5977, 17931, 29885

Step-4: Factors of 89670

List of positive integer factors of 89670 that divides 89655 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 89655 and 89670. The biggest common factor number is the GCF number.
So the greatest common factor 89655 and 89670 is 15.

Also check out the Least Common Multiple of 89655 and 89670