What is the Greatest Common Factor of 77865 and 77874?

Greatest common factor (GCF) of 77865 and 77874 is 3.

GCF(77865,77874) = 3

We will now calculate the prime factors of 77865 and 77874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77865 and 77874.

How to find the GCF of 77865 and 77874?

We will first find the prime factorization of 77865 and 77874. After we will calculate the factors of 77865 and 77874 and find the biggest common factor number .

Step-1: Prime Factorization of 77865

Prime factors of 77865 are 3, 5, 29, 179. Prime factorization of 77865 in exponential form is:

77865 = 3¹ × 5¹ × 29¹ × 179¹

Step-2: Prime Factorization of 77874

Prime factors of 77874 are 2, 3, 12979. Prime factorization of 77874 in exponential form is:

77874 = 2¹ × 3¹ × 12979¹

Step-3: Factors of 77865

List of positive integer factors of 77865 that divides 77865 without a remainder.

1, 3, 5, 15, 29, 87, 145, 179, 435, 537, 895, 2685, 5191, 15573, 25955

Step-4: Factors of 77874

List of positive integer factors of 77874 that divides 77865 without a remainder.

1, 2, 3, 6, 12979, 25958, 38937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77865 and 77874. The biggest common factor number is the GCF number.
So the greatest common factor 77865 and 77874 is 3.

Also check out the Least Common Multiple of 77865 and 77874