What is the Greatest Common Factor of 4072 and 4088?

Greatest common factor (GCF) of 4072 and 4088 is 8.

GCF(4072,4088) = 8

We will now calculate the prime factors of 4072 and 4088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4072 and 4088.

How to find the GCF of 4072 and 4088?

We will first find the prime factorization of 4072 and 4088. After we will calculate the factors of 4072 and 4088 and find the biggest common factor number .

Step-1: Prime Factorization of 4072

Prime factors of 4072 are 2, 509. Prime factorization of 4072 in exponential form is:

4072 = 2³ × 509¹

Step-2: Prime Factorization of 4088

Prime factors of 4088 are 2, 7, 73. Prime factorization of 4088 in exponential form is:

4088 = 2³ × 7¹ × 73¹

Step-3: Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1, 2, 4, 8, 509, 1018, 2036

Step-4: Factors of 4088

List of positive integer factors of 4088 that divides 4072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4072 and 4088. The biggest common factor number is the GCF number.
So the greatest common factor 4072 and 4088 is 8.

Also check out the Least Common Multiple of 4072 and 4088