What is the Greatest Common Factor of 1072 and 1084?

Greatest common factor (GCF) of 1072 and 1084 is 4.

GCF(1072,1084) = 4

We will now calculate the prime factors of 1072 and 1084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1072 and 1084.

How to find the GCF of 1072 and 1084?

We will first find the prime factorization of 1072 and 1084. After we will calculate the factors of 1072 and 1084 and find the biggest common factor number .

Step-1: Prime Factorization of 1072

Prime factors of 1072 are 2, 67. Prime factorization of 1072 in exponential form is:

1072 = 2⁴ × 67¹

Step-2: Prime Factorization of 1084

Prime factors of 1084 are 2, 271. Prime factorization of 1084 in exponential form is:

1084 = 2² × 271¹

Step-3: Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536

Step-4: Factors of 1084

List of positive integer factors of 1084 that divides 1072 without a remainder.

1, 2, 4, 271, 542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1072 and 1084. The biggest common factor number is the GCF number.
So the greatest common factor 1072 and 1084 is 4.

Also check out the Least Common Multiple of 1072 and 1084