What is the Greatest Common Factor of 71072 and 71084?

Greatest common factor (GCF) of 71072 and 71084 is 4.

GCF(71072,71084) = 4

We will now calculate the prime factors of 71072 and 71084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71072 and 71084.

How to find the GCF of 71072 and 71084?

We will first find the prime factorization of 71072 and 71084. After we will calculate the factors of 71072 and 71084 and find the biggest common factor number .

Step-1: Prime Factorization of 71072

Prime factors of 71072 are 2, 2221. Prime factorization of 71072 in exponential form is:

71072 = 2⁵ × 2221¹

Step-2: Prime Factorization of 71084

Prime factors of 71084 are 2, 13, 1367. Prime factorization of 71084 in exponential form is:

71084 = 2² × 13¹ × 1367¹

Step-3: Factors of 71072

List of positive integer factors of 71072 that divides 71072 without a remainder.

1, 2, 4, 8, 16, 32, 2221, 4442, 8884, 17768, 35536

Step-4: Factors of 71084

List of positive integer factors of 71084 that divides 71072 without a remainder.

1, 2, 4, 13, 26, 52, 1367, 2734, 5468, 17771, 35542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71072 and 71084. The biggest common factor number is the GCF number.
So the greatest common factor 71072 and 71084 is 4.

Also check out the Least Common Multiple of 71072 and 71084