Greatest Common Factor of 712 and 719

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 712, 719 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 712 and 719 is 1.

GCF(712,719) = 1

GCF of 712 and 719

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

GCF of:
and

Greatest Common Factor of 712 and 719

GCF of 712 and 719 is 1

Prime Factorization of 712


2 712
2 356
2 178
89 89
1

Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:

712 = 23×891

Prime Factorization of 719


719 719
1

Prime factors of 719 are 719. Prime factorization of 719 in exponential form is:

719 = 7191

∴ So by taking common prime factors GCF of 712 and 719 is 1

Greatest Common Factor of 712 and 719 by matching factors method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors and prime factorization of 712 and 719. The biggest common factor number is the GCF number.
So the greatest common factor 712 and 719 is 1.

Also check out the Least Common Multiple of 712 and 719

Properties of GCF 712 and 719

(i) The GCF of 712 and 719 is associative

GCF of 712 and 719 = GCF of 719 and 712

Related Greatest Common Factor of 712

Related Greatest Common Factor of 719

Frequently Asked Questions on GCF of 712 and 719

1. What is the GCF of 712 and 719?

Answer: GCF of 712 and 719 is 1.

2. What are the Factors of 712?

Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.

3. What are the Factors of 719?

Answer: Factors of 719 are 1, 719. There are 2 integers that are factors of 719. The greatest factor of 719 is 719.

4. How to Find the GCF of 712 and 719?

Answer:

Greatest Common Factor of 712 and 719 = 1

Step 1: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 719

719 = 719

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 712 and 719 is 1