What is the Greatest Common Factor of 70728 and 70732?

Greatest common factor (GCF) of 70728 and 70732 is 4.

GCF(70728,70732) = 4

We will now calculate the prime factors of 70728 and 70732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70728 and 70732.

How to find the GCF of 70728 and 70732?

We will first find the prime factorization of 70728 and 70732. After we will calculate the factors of 70728 and 70732 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 70732

Prime factors of 70732 are 2, 17683. Prime factorization of 70732 in exponential form is:

70732 = 2² × 17683¹

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 70732

List of positive integer factors of 70732 that divides 70728 without a remainder.

1, 2, 4, 17683, 35366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70728 and 70732. The biggest common factor number is the GCF number.
So the greatest common factor 70728 and 70732 is 4.

Also check out the Least Common Multiple of 70728 and 70732