What is the Greatest Common Factor of 11072 and 11076?

Greatest common factor (GCF) of 11072 and 11076 is 4.

GCF(11072,11076) = 4

We will now calculate the prime factors of 11072 and 11076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11072 and 11076.

How to find the GCF of 11072 and 11076?

We will first find the prime factorization of 11072 and 11076. After we will calculate the factors of 11072 and 11076 and find the biggest common factor number .

Step-1: Prime Factorization of 11072

Prime factors of 11072 are 2, 173. Prime factorization of 11072 in exponential form is:

11072 = 2⁶ × 173¹

Step-2: Prime Factorization of 11076

Prime factors of 11076 are 2, 3, 13, 71. Prime factorization of 11076 in exponential form is:

11076 = 2² × 3¹ × 13¹ × 71¹

Step-3: Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536

Step-4: Factors of 11076

List of positive integer factors of 11076 that divides 11072 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 71, 78, 142, 156, 213, 284, 426, 852, 923, 1846, 2769, 3692, 5538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11072 and 11076. The biggest common factor number is the GCF number.
So the greatest common factor 11072 and 11076 is 4.

Also check out the Least Common Multiple of 11072 and 11076