Greatest Common Factor of 5072 and 5074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5072, 5074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5072 and 5074 is 2.

GCF(5072,5074) = 2

GCF of 5072 and 5074

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5072 and 5074

GCF of 5072 and 5074 is 2

Prime Factorization of 5072


2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 5072 are 2,317. Prime factorization of 5072 in exponential form is:

5072 = 24×3171

Prime Factorization of 5074


2 5074
43 2537
59 59
1

Prime factors of 5074 are 2,43,59. Prime factorization of 5074 in exponential form is:

5074 = 21×431×591

∴ So by taking common prime factors GCF of 5072 and 5074 is 2

Greatest Common Factor of 5072 and 5074 by matching factors method

Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1,2,4,8,16,317,634,1268,2536,5072

Factors of 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1,2,43,59,86,118,2537,5074

Greatest Common Factor

We found the factors and prime factorization of 5072 and 5074. The biggest common factor number is the GCF number.
So the greatest common factor 5072 and 5074 is 2.

Also check out the Least Common Multiple of 5072 and 5074

Properties of GCF 5072 and 5074

(i) The GCF of 5072 and 5074 is associative

GCF of 5072 and 5074 = GCF of 5074 and 5072

Related Greatest Common Factor of 5072

Related Greatest Common Factor of 5074

Frequently Asked Questions on GCF of 5072 and 5074

1. What is the GCF of 5072 and 5074?

Answer: GCF of 5072 and 5074 is 2.

2. What are the Factors of 5072?

Answer: Factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. There are 10 integers that are factors of 5072. The greatest factor of 5072 is 5072.

3. What are the Factors of 5074?

Answer: Factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074. There are 8 integers that are factors of 5074. The greatest factor of 5074 is 5074.

4. How to Find the GCF of 5072 and 5074?

Answer:

Greatest Common Factor of 5072 and 5074 = 2

Step 1: Find the prime factorization of 5072

5072 = 2 x 2 x 2 x 2 x 317

Step 2: Find the prime factorization of 5074

5074 = 2 x 43 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 5072 and 5074 is 2