What is the Greatest Common Factor of 77754 and 77762?

Greatest common factor (GCF) of 77754 and 77762 is 2.

GCF(77754,77762) = 2

We will now calculate the prime factors of 77754 and 77762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77754 and 77762.

How to find the GCF of 77754 and 77762?

We will first find the prime factorization of 77754 and 77762. After we will calculate the factors of 77754 and 77762 and find the biggest common factor number .

Step-1: Prime Factorization of 77754

Prime factors of 77754 are 2, 3, 12959. Prime factorization of 77754 in exponential form is:

77754 = 2¹ × 3¹ × 12959¹

Step-2: Prime Factorization of 77762

Prime factors of 77762 are 2, 59, 659. Prime factorization of 77762 in exponential form is:

77762 = 2¹ × 59¹ × 659¹

Step-3: Factors of 77754

List of positive integer factors of 77754 that divides 77754 without a remainder.

1, 2, 3, 6, 12959, 25918, 38877

Step-4: Factors of 77762

List of positive integer factors of 77762 that divides 77754 without a remainder.

1, 2, 59, 118, 659, 1318, 38881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77754 and 77762. The biggest common factor number is the GCF number.
So the greatest common factor 77754 and 77762 is 2.

Also check out the Least Common Multiple of 77754 and 77762