What is the Greatest Common Factor of 70752 and 70761?

Greatest common factor (GCF) of 70752 and 70761 is 3.

GCF(70752,70761) = 3

We will now calculate the prime factors of 70752 and 70761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70752 and 70761.

How to find the GCF of 70752 and 70761?

We will first find the prime factorization of 70752 and 70761. After we will calculate the factors of 70752 and 70761 and find the biggest common factor number .

Step-1: Prime Factorization of 70752

Prime factors of 70752 are 2, 3, 11, 67. Prime factorization of 70752 in exponential form is:

70752 = 2⁵ × 3¹ × 11¹ × 67¹

Step-2: Prime Factorization of 70761

Prime factors of 70761 are 3, 103, 229. Prime factorization of 70761 in exponential form is:

70761 = 3¹ × 103¹ × 229¹

Step-3: Factors of 70752

List of positive integer factors of 70752 that divides 70752 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 67, 88, 96, 132, 134, 176, 201, 264, 268, 352, 402, 528, 536, 737, 804, 1056, 1072, 1474, 1608, 2144, 2211, 2948, 3216, 4422, 5896, 6432, 8844, 11792, 17688, 23584, 35376

Step-4: Factors of 70761

List of positive integer factors of 70761 that divides 70752 without a remainder.

1, 3, 103, 229, 309, 687, 23587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70752 and 70761. The biggest common factor number is the GCF number.
So the greatest common factor 70752 and 70761 is 3.

Also check out the Least Common Multiple of 70752 and 70761