Greatest Common Factor of 736 and 739

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 736, 739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 736 and 739 is 1.

GCF(736,739) = 1

GCF of 736 and 739

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

GCF of:
and

Greatest Common Factor of 736 and 739

GCF of 736 and 739 is 1

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

Prime Factorization of 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

∴ So by taking common prime factors GCF of 736 and 739 is 1

Greatest Common Factor of 736 and 739 by matching factors method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors and prime factorization of 736 and 739. The biggest common factor number is the GCF number.
So the greatest common factor 736 and 739 is 1.

Also check out the Least Common Multiple of 736 and 739

Properties of GCF 736 and 739

(i) The GCF of 736 and 739 is associative

GCF of 736 and 739 = GCF of 739 and 736

Related Greatest Common Factor of 736

Related Greatest Common Factor of 739

Frequently Asked Questions on GCF of 736 and 739

1. What is the GCF of 736 and 739?

Answer: GCF of 736 and 739 is 1.

2. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

3. What are the Factors of 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

4. How to Find the GCF of 736 and 739?

Answer:

Greatest Common Factor of 736 and 739 = 1

Step 1: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 739

739 = 739

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 736 and 739 is 1