What is the Greatest Common Factor of 72645 and 72656?

Greatest common factor (GCF) of 72645 and 72656 is 1.

GCF(72645,72656) = 1

We will now calculate the prime factors of 72645 and 72656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72645 and 72656.

How to find the GCF of 72645 and 72656?

We will first find the prime factorization of 72645 and 72656. After we will calculate the factors of 72645 and 72656 and find the biggest common factor number .

Step-1: Prime Factorization of 72645

Prime factors of 72645 are 3, 5, 29, 167. Prime factorization of 72645 in exponential form is:

72645 = 3¹ × 5¹ × 29¹ × 167¹

Step-2: Prime Factorization of 72656

Prime factors of 72656 are 2, 19, 239. Prime factorization of 72656 in exponential form is:

72656 = 2⁴ × 19¹ × 239¹

Step-3: Factors of 72645

List of positive integer factors of 72645 that divides 72645 without a remainder.

1, 3, 5, 15, 29, 87, 145, 167, 435, 501, 835, 2505, 4843, 14529, 24215

Step-4: Factors of 72656

List of positive integer factors of 72656 that divides 72645 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 239, 304, 478, 956, 1912, 3824, 4541, 9082, 18164, 36328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72645 and 72656. The biggest common factor number is the GCF number.
So the greatest common factor 72645 and 72656 is 1.

Also check out the Least Common Multiple of 72645 and 72656