Greatest Common Factor of 705 and 712

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 705, 712 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 705 and 712 is 1.

GCF(705,712) = 1

GCF of 705 and 712

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

GCF of:
and

Greatest Common Factor of 705 and 712

GCF of 705 and 712 is 1

Prime Factorization of 705


3 705
5 235
47 47
1

Prime factors of 705 are 3,5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

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

∴ So by taking common prime factors GCF of 705 and 712 is 1

Greatest Common Factor of 705 and 712 by matching factors method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 712

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

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

Greatest Common Factor

We found the factors and prime factorization of 705 and 712. The biggest common factor number is the GCF number.
So the greatest common factor 705 and 712 is 1.

Also check out the Least Common Multiple of 705 and 712

Properties of GCF 705 and 712

(i) The GCF of 705 and 712 is associative

GCF of 705 and 712 = GCF of 712 and 705

Related Greatest Common Factor of 705

Related Greatest Common Factor of 712

Frequently Asked Questions on GCF of 705 and 712

1. What is the GCF of 705 and 712?

Answer: GCF of 705 and 712 is 1.

2. What are the Factors of 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

3. 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.

4. How to Find the GCF of 705 and 712?

Answer:

Greatest Common Factor of 705 and 712 = 1

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

Step 2: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

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 705 and 712 is 1