What is the Greatest Common Factor of 72756 and 72772?

Greatest common factor (GCF) of 72756 and 72772 is 4.

GCF(72756,72772) = 4

We will now calculate the prime factors of 72756 and 72772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72756 and 72772.

How to find the GCF of 72756 and 72772?

We will first find the prime factorization of 72756 and 72772. After we will calculate the factors of 72756 and 72772 and find the biggest common factor number .

Step-1: Prime Factorization of 72756

Prime factors of 72756 are 2, 3, 43, 47. Prime factorization of 72756 in exponential form is:

72756 = 2² × 3² × 43¹ × 47¹

Step-2: 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-3: Factors of 72756

List of positive integer factors of 72756 that divides 72756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 387, 423, 516, 564, 774, 846, 1548, 1692, 2021, 4042, 6063, 8084, 12126, 18189, 24252, 36378

Step-4: Factors of 72772

List of positive integer factors of 72772 that divides 72756 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72756 and 72772. The biggest common factor number is the GCF number.
So the greatest common factor 72756 and 72772 is 4.

Also check out the Least Common Multiple of 72756 and 72772