What is the Greatest Common Factor of 160 and 172?

Greatest common factor (GCF) of 160 and 172 is 4.

GCF(160,172) = 4

We will now calculate the prime factors of 160 and 172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 160 and 172.

How to find the GCF of 160 and 172?

We will first find the prime factorization of 160 and 172. After we will calculate the factors of 160 and 172 and find the biggest common factor number .

Step-1: Prime Factorization of 160

Prime factors of 160 are 2, 5. Prime factorization of 160 in exponential form is:

160 = 2⁵ × 5¹

Step-2: Prime Factorization of 172

Prime factors of 172 are 2, 43. Prime factorization of 172 in exponential form is:

172 = 2² × 43¹

Step-3: Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80

Step-4: Factors of 172

List of positive integer factors of 172 that divides 160 without a remainder.

1, 2, 4, 43, 86

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 160 and 172. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 172 is 4.

Also check out the Least Common Multiple of 160 and 172