What is the Greatest Common Factor of 72772 and 72786?

Greatest common factor (GCF) of 72772 and 72786 is 14.

GCF(72772,72786) = 14

We will now calculate the prime factors of 72772 and 72786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72772 and 72786.

How to find the GCF of 72772 and 72786?

We will first find the prime factorization of 72772 and 72786. After we will calculate the factors of 72772 and 72786 and find the biggest common factor number .

Step-1: Prime Factorization of 72772

Prime factors of 72772 are 2, 7, 23, 113. Prime factorization of 72772 in exponential form is:

72772 = 2² × 7¹ × 23¹ × 113¹

Step-2: Prime Factorization of 72786

Prime factors of 72786 are 2, 3, 7, 1733. Prime factorization of 72786 in exponential form is:

72786 = 2¹ × 3¹ × 7¹ × 1733¹

Step-3: Factors of 72772

List of positive integer factors of 72772 that divides 72772 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 113, 161, 226, 322, 452, 644, 791, 1582, 2599, 3164, 5198, 10396, 18193, 36386

Step-4: Factors of 72786

List of positive integer factors of 72786 that divides 72772 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1733, 3466, 5199, 10398, 12131, 24262, 36393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72772 and 72786. The biggest common factor number is the GCF number.
So the greatest common factor 72772 and 72786 is 14.

Also check out the Least Common Multiple of 72772 and 72786