What is the Greatest Common Factor of 70752 and 70767?

Greatest common factor (GCF) of 70752 and 70767 is 3.

GCF(70752,70767) = 3

We will now calculate the prime factors of 70752 and 70767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70752 and 70767.

How to find the GCF of 70752 and 70767?

We will first find the prime factorization of 70752 and 70767. After we will calculate the factors of 70752 and 70767 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 70767

Prime factors of 70767 are 3, 2621. Prime factorization of 70767 in exponential form is:

70767 = 3³ × 2621¹

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 70767

List of positive integer factors of 70767 that divides 70752 without a remainder.

1, 3, 9, 27, 2621, 7863, 23589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70752 and 70767. The biggest common factor number is the GCF number.
So the greatest common factor 70752 and 70767 is 3.

Also check out the Least Common Multiple of 70752 and 70767