What is the Greatest Common Factor of 70724 and 70728?

Greatest common factor (GCF) of 70724 and 70728 is 4.

GCF(70724,70728) = 4

We will now calculate the prime factors of 70724 and 70728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70724 and 70728.

How to find the GCF of 70724 and 70728?

We will first find the prime factorization of 70724 and 70728. After we will calculate the factors of 70724 and 70728 and find the biggest common factor number .

Step-1: Prime Factorization of 70724

Prime factors of 70724 are 2, 17681. Prime factorization of 70724 in exponential form is:

70724 = 2² × 17681¹

Step-2: 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-3: Factors of 70724

List of positive integer factors of 70724 that divides 70724 without a remainder.

1, 2, 4, 17681, 35362

Step-4: Factors of 70728

List of positive integer factors of 70728 that divides 70724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70724 and 70728. The biggest common factor number is the GCF number.
So the greatest common factor 70724 and 70728 is 4.

Also check out the Least Common Multiple of 70724 and 70728