What is the Greatest Common Factor of 70728 and 70748?

Greatest common factor (GCF) of 70728 and 70748 is 4.

GCF(70728,70748) = 4

We will now calculate the prime factors of 70728 and 70748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70728 and 70748.

How to find the GCF of 70728 and 70748?

We will first find the prime factorization of 70728 and 70748. After we will calculate the factors of 70728 and 70748 and find the biggest common factor number .

Step-1: Prime Factorization of 70728

Prime factors of 70728 are 2, 3, 7, 421. Prime factorization of 70728 in exponential form is:

70728 = 2³ × 3¹ × 7¹ × 421¹

Step-2: Prime Factorization of 70748

Prime factors of 70748 are 2, 23, 769. Prime factorization of 70748 in exponential form is:

70748 = 2² × 23¹ × 769¹

Step-3: Factors of 70728

List of positive integer factors of 70728 that divides 70728 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 421, 842, 1263, 1684, 2526, 2947, 3368, 5052, 5894, 8841, 10104, 11788, 17682, 23576, 35364

Step-4: Factors of 70748

List of positive integer factors of 70748 that divides 70728 without a remainder.

1, 2, 4, 23, 46, 92, 769, 1538, 3076, 17687, 35374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70728 and 70748. The biggest common factor number is the GCF number.
So the greatest common factor 70728 and 70748 is 4.

Also check out the Least Common Multiple of 70728 and 70748