What is the Greatest Common Factor of 44772 and 44792?

Greatest common factor (GCF) of 44772 and 44792 is 4.

GCF(44772,44792) = 4

We will now calculate the prime factors of 44772 and 44792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44772 and 44792.

How to find the GCF of 44772 and 44792?

We will first find the prime factorization of 44772 and 44792. After we will calculate the factors of 44772 and 44792 and find the biggest common factor number .

Step-1: Prime Factorization of 44772

Prime factors of 44772 are 2, 3, 7, 13, 41. Prime factorization of 44772 in exponential form is:

44772 = 2² × 3¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 44792

Prime factors of 44792 are 2, 11, 509. Prime factorization of 44792 in exponential form is:

44792 = 2³ × 11¹ × 509¹

Step-3: Factors of 44772

List of positive integer factors of 44772 that divides 44772 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 41, 42, 52, 78, 82, 84, 91, 123, 156, 164, 182, 246, 273, 287, 364, 492, 533, 546, 574, 861, 1066, 1092, 1148, 1599, 1722, 2132, 3198, 3444, 3731, 6396, 7462, 11193, 14924, 22386

Step-4: Factors of 44792

List of positive integer factors of 44792 that divides 44772 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 509, 1018, 2036, 4072, 5599, 11198, 22396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44772 and 44792. The biggest common factor number is the GCF number.
So the greatest common factor 44772 and 44792 is 4.

Also check out the Least Common Multiple of 44772 and 44792