What is the Greatest Common Factor of 77742 and 77754?

Greatest common factor (GCF) of 77742 and 77754 is 6.

GCF(77742,77754) = 6

We will now calculate the prime factors of 77742 and 77754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77742 and 77754.

How to find the GCF of 77742 and 77754?

We will first find the prime factorization of 77742 and 77754. After we will calculate the factors of 77742 and 77754 and find the biggest common factor number .

Step-1: Prime Factorization of 77742

Prime factors of 77742 are 2, 3, 7, 617. Prime factorization of 77742 in exponential form is:

77742 = 2¹ × 3² × 7¹ × 617¹

Step-2: 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-3: Factors of 77742

List of positive integer factors of 77742 that divides 77742 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 617, 1234, 1851, 3702, 4319, 5553, 8638, 11106, 12957, 25914, 38871

Step-4: Factors of 77754

List of positive integer factors of 77754 that divides 77742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77742 and 77754. The biggest common factor number is the GCF number.
So the greatest common factor 77742 and 77754 is 6.

Also check out the Least Common Multiple of 77742 and 77754