Greatest Common Factor of 5090 and 5092

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 5090, 5092 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5090 and 5092 is 2.

GCF(5090,5092) = 2

GCF of 5090 and 5092

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

GCF of:
and

Greatest Common Factor of 5090 and 5092

GCF of 5090 and 5092 is 2

Prime Factorization of 5090


2 5090
5 2545
509 509
1

Prime factors of 5090 are 2,5,509. Prime factorization of 5090 in exponential form is:

5090 = 21×51×5091

Prime Factorization of 5092


2 5092
2 2546
19 1273
67 67
1

Prime factors of 5092 are 2,19,67. Prime factorization of 5092 in exponential form is:

5092 = 22×191×671

∴ So by taking common prime factors GCF of 5090 and 5092 is 2

Greatest Common Factor of 5090 and 5092 by matching factors method

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1,2,5,10,509,1018,2545,5090

Factors of 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1,2,4,19,38,67,76,134,268,1273,2546,5092

Greatest Common Factor

We found the factors and prime factorization of 5090 and 5092. The biggest common factor number is the GCF number.
So the greatest common factor 5090 and 5092 is 2.

Also check out the Least Common Multiple of 5090 and 5092

Properties of GCF 5090 and 5092

(i) The GCF of 5090 and 5092 is associative

GCF of 5090 and 5092 = GCF of 5092 and 5090

Related Greatest Common Factor of 5090

Related Greatest Common Factor of 5092

Frequently Asked Questions on GCF of 5090 and 5092

1. What is the GCF of 5090 and 5092?

Answer: GCF of 5090 and 5092 is 2.

2. What are the Factors of 5090?

Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.

3. What are the Factors of 5092?

Answer: Factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092. There are 12 integers that are factors of 5092. The greatest factor of 5092 is 5092.

4. How to Find the GCF of 5090 and 5092?

Answer:

Greatest Common Factor of 5090 and 5092 = 2

Step 1: Find the prime factorization of 5090

5090 = 2 x 5 x 509

Step 2: Find the prime factorization of 5092

5092 = 2 x 2 x 19 x 67

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 5090 and 5092 is 2