What is the Greatest Common Factor of 74778 and 74782?

Greatest common factor (GCF) of 74778 and 74782 is 2.

GCF(74778,74782) = 2

We will now calculate the prime factors of 74778 and 74782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74778 and 74782.

How to find the GCF of 74778 and 74782?

We will first find the prime factorization of 74778 and 74782. After we will calculate the factors of 74778 and 74782 and find the biggest common factor number .

Step-1: Prime Factorization of 74778

Prime factors of 74778 are 2, 3, 11, 103. Prime factorization of 74778 in exponential form is:

74778 = 2¹ × 3¹ × 11² × 103¹

Step-2: Prime Factorization of 74782

Prime factors of 74782 are 2, 139, 269. Prime factorization of 74782 in exponential form is:

74782 = 2¹ × 139¹ × 269¹

Step-3: Factors of 74778

List of positive integer factors of 74778 that divides 74778 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 103, 121, 206, 242, 309, 363, 618, 726, 1133, 2266, 3399, 6798, 12463, 24926, 37389

Step-4: Factors of 74782

List of positive integer factors of 74782 that divides 74778 without a remainder.

1, 2, 139, 269, 278, 538, 37391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74778 and 74782. The biggest common factor number is the GCF number.
So the greatest common factor 74778 and 74782 is 2.

Also check out the Least Common Multiple of 74778 and 74782