What is the Greatest Common Factor of 98160 and 98167?

Greatest common factor (GCF) of 98160 and 98167 is 1.

GCF(98160,98167) = 1

We will now calculate the prime factors of 98160 and 98167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98160 and 98167.

How to find the GCF of 98160 and 98167?

We will first find the prime factorization of 98160 and 98167. After we will calculate the factors of 98160 and 98167 and find the biggest common factor number .

Step-1: Prime Factorization of 98160

Prime factors of 98160 are 2, 3, 5, 409. Prime factorization of 98160 in exponential form is:

98160 = 2⁴ × 3¹ × 5¹ × 409¹

Step-2: Prime Factorization of 98167

Prime factors of 98167 are 89, 1103. Prime factorization of 98167 in exponential form is:

98167 = 89¹ × 1103¹

Step-3: Factors of 98160

List of positive integer factors of 98160 that divides 98160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 409, 818, 1227, 1636, 2045, 2454, 3272, 4090, 4908, 6135, 6544, 8180, 9816, 12270, 16360, 19632, 24540, 32720, 49080

Step-4: Factors of 98167

List of positive integer factors of 98167 that divides 98160 without a remainder.

1, 89, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98160 and 98167. The biggest common factor number is the GCF number.
So the greatest common factor 98160 and 98167 is 1.

Also check out the Least Common Multiple of 98160 and 98167