What is the Greatest Common Factor of 77774 and 77784?

Greatest common factor (GCF) of 77774 and 77784 is 2.

GCF(77774,77784) = 2

We will now calculate the prime factors of 77774 and 77784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77774 and 77784.

How to find the GCF of 77774 and 77784?

We will first find the prime factorization of 77774 and 77784. After we will calculate the factors of 77774 and 77784 and find the biggest common factor number .

Step-1: Prime Factorization of 77774

Prime factors of 77774 are 2, 37, 1051. Prime factorization of 77774 in exponential form is:

77774 = 2¹ × 37¹ × 1051¹

Step-2: Prime Factorization of 77784

Prime factors of 77784 are 2, 3, 7, 463. Prime factorization of 77784 in exponential form is:

77784 = 2³ × 3¹ × 7¹ × 463¹

Step-3: Factors of 77774

List of positive integer factors of 77774 that divides 77774 without a remainder.

1, 2, 37, 74, 1051, 2102, 38887

Step-4: Factors of 77784

List of positive integer factors of 77784 that divides 77774 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 463, 926, 1389, 1852, 2778, 3241, 3704, 5556, 6482, 9723, 11112, 12964, 19446, 25928, 38892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77774 and 77784. The biggest common factor number is the GCF number.
So the greatest common factor 77774 and 77784 is 2.

Also check out the Least Common Multiple of 77774 and 77784