What is the Greatest Common Factor of 1072 and 1087?

Greatest common factor (GCF) of 1072 and 1087 is 1.

GCF(1072,1087) = 1

We will now calculate the prime factors of 1072 and 1087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1072 and 1087.

How to find the GCF of 1072 and 1087?

We will first find the prime factorization of 1072 and 1087. After we will calculate the factors of 1072 and 1087 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 1087

Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:

1087 = 1087¹

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 1087

List of positive integer factors of 1087 that divides 1072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1072 and 1087. The biggest common factor number is the GCF number.
So the greatest common factor 1072 and 1087 is 1.

Also check out the Least Common Multiple of 1072 and 1087