Greatest Common Factor of 707 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 707, 712 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 707 and 712 is 1.

GCF(707,712) = 1

GCF of 707 and 712

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

GCF of:
and

Greatest Common Factor of 707 and 712

GCF of 707 and 712 is 1

Prime Factorization of 707


7 707
101 101
1

Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:

707 = 71×1011

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 707 and 712 is 1

Greatest Common Factor of 707 and 712 by matching factors method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

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 707 and 712. The biggest common factor number is the GCF number.
So the greatest common factor 707 and 712 is 1.

Also check out the Least Common Multiple of 707 and 712

Properties of GCF 707 and 712

(i) The GCF of 707 and 712 is associative

GCF of 707 and 712 = GCF of 712 and 707

Related Greatest Common Factor of 707

Related Greatest Common Factor of 712

Frequently Asked Questions on GCF of 707 and 712

1. What is the GCF of 707 and 712?

Answer: GCF of 707 and 712 is 1.

2. What are the Factors of 707?

Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.

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 707 and 712?

Answer:

Greatest Common Factor of 707 and 712 = 1

Step 1: Find the prime factorization of 707

707 = 7 x 101

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 707 and 712 is 1