What is the Greatest Common Factor of 40761 and 40767?

Greatest common factor (GCF) of 40761 and 40767 is 3.

GCF(40761,40767) = 3

We will now calculate the prime factors of 40761 and 40767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40761 and 40767.

How to find the GCF of 40761 and 40767?

We will first find the prime factorization of 40761 and 40767. After we will calculate the factors of 40761 and 40767 and find the biggest common factor number .

Step-1: Prime Factorization of 40761

Prime factors of 40761 are 3, 7, 647. Prime factorization of 40761 in exponential form is:

40761 = 3² × 7¹ × 647¹

Step-2: Prime Factorization of 40767

Prime factors of 40767 are 3, 107, 127. Prime factorization of 40767 in exponential form is:

40767 = 3¹ × 107¹ × 127¹

Step-3: Factors of 40761

List of positive integer factors of 40761 that divides 40761 without a remainder.

1, 3, 7, 9, 21, 63, 647, 1941, 4529, 5823, 13587

Step-4: Factors of 40767

List of positive integer factors of 40767 that divides 40761 without a remainder.

1, 3, 107, 127, 321, 381, 13589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40761 and 40767. The biggest common factor number is the GCF number.
So the greatest common factor 40761 and 40767 is 3.

Also check out the Least Common Multiple of 40761 and 40767