Greatest Common Factor of 7124 and 7126

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 7124, 7126 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7124 and 7126 is 2.

GCF(7124,7126) = 2

GCF of 7124 and 7126

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

GCF of:
and

Greatest Common Factor of 7124 and 7126

GCF of 7124 and 7126 is 2

Prime Factorization of 7124


2 7124
2 3562
13 1781
137 137
1

Prime factors of 7124 are 2,13,137. Prime factorization of 7124 in exponential form is:

7124 = 22×131×1371

Prime Factorization of 7126


2 7126
7 3563
509 509
1

Prime factors of 7126 are 2,7,509. Prime factorization of 7126 in exponential form is:

7126 = 21×71×5091

∴ So by taking common prime factors GCF of 7124 and 7126 is 2

Greatest Common Factor of 7124 and 7126 by matching factors method

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1,2,4,13,26,52,137,274,548,1781,3562,7124

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors and prime factorization of 7124 and 7126. The biggest common factor number is the GCF number.
So the greatest common factor 7124 and 7126 is 2.

Also check out the Least Common Multiple of 7124 and 7126

Properties of GCF 7124 and 7126

(i) The GCF of 7124 and 7126 is associative

GCF of 7124 and 7126 = GCF of 7126 and 7124

Related Greatest Common Factor of 7124

Related Greatest Common Factor of 7126

Frequently Asked Questions on GCF of 7124 and 7126

1. What is the GCF of 7124 and 7126?

Answer: GCF of 7124 and 7126 is 2.

2. What are the Factors of 7124?

Answer: Factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124. There are 12 integers that are factors of 7124. The greatest factor of 7124 is 7124.

3. What are the Factors of 7126?

Answer: Factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126. There are 8 integers that are factors of 7126. The greatest factor of 7126 is 7126.

4. How to Find the GCF of 7124 and 7126?

Answer:

Greatest Common Factor of 7124 and 7126 = 2

Step 1: Find the prime factorization of 7124

7124 = 2 x 2 x 13 x 137

Step 2: Find the prime factorization of 7126

7126 = 2 x 7 x 509

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 7124 and 7126 is 2