What is the Greatest Common Factor of 71764 and 71778?

Greatest common factor (GCF) of 71764 and 71778 is 14.

GCF(71764,71778) = 14

We will now calculate the prime factors of 71764 and 71778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71764 and 71778.

How to find the GCF of 71764 and 71778?

We will first find the prime factorization of 71764 and 71778. After we will calculate the factors of 71764 and 71778 and find the biggest common factor number .

Step-1: Prime Factorization of 71764

Prime factors of 71764 are 2, 7, 11, 233. Prime factorization of 71764 in exponential form is:

71764 = 2² × 7¹ × 11¹ × 233¹

Step-2: Prime Factorization of 71778

Prime factors of 71778 are 2, 3, 7, 1709. Prime factorization of 71778 in exponential form is:

71778 = 2¹ × 3¹ × 7¹ × 1709¹

Step-3: Factors of 71764

List of positive integer factors of 71764 that divides 71764 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 233, 308, 466, 932, 1631, 2563, 3262, 5126, 6524, 10252, 17941, 35882

Step-4: Factors of 71778

List of positive integer factors of 71778 that divides 71764 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1709, 3418, 5127, 10254, 11963, 23926, 35889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71764 and 71778. The biggest common factor number is the GCF number.
So the greatest common factor 71764 and 71778 is 14.

Also check out the Least Common Multiple of 71764 and 71778