What is the Greatest Common Factor of 72156 and 72170?

Greatest common factor (GCF) of 72156 and 72170 is 14.

GCF(72156,72170) = 14

We will now calculate the prime factors of 72156 and 72170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72156 and 72170.

How to find the GCF of 72156 and 72170?

We will first find the prime factorization of 72156 and 72170. After we will calculate the factors of 72156 and 72170 and find the biggest common factor number .

Step-1: Prime Factorization of 72156

Prime factors of 72156 are 2, 3, 7, 859. Prime factorization of 72156 in exponential form is:

72156 = 2² × 3¹ × 7¹ × 859¹

Step-2: Prime Factorization of 72170

Prime factors of 72170 are 2, 5, 7, 1031. Prime factorization of 72170 in exponential form is:

72170 = 2¹ × 5¹ × 7¹ × 1031¹

Step-3: Factors of 72156

List of positive integer factors of 72156 that divides 72156 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 859, 1718, 2577, 3436, 5154, 6013, 10308, 12026, 18039, 24052, 36078

Step-4: Factors of 72170

List of positive integer factors of 72170 that divides 72156 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1031, 2062, 5155, 7217, 10310, 14434, 36085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72156 and 72170. The biggest common factor number is the GCF number.
So the greatest common factor 72156 and 72170 is 14.

Also check out the Least Common Multiple of 72156 and 72170