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
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