Greatest Common Factor of 703 and 708

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 703, 708 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 703 and 708 is 1.

GCF(703,708) = 1

GCF of 703 and 708

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

GCF of:
and

Greatest Common Factor of 703 and 708

GCF of 703 and 708 is 1

Prime Factorization of 703


19 703
37 37
1

Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:

703 = 191×371

Prime Factorization of 708


2 708
2 354
3 177
59 59
1

Prime factors of 708 are 2,3,59. Prime factorization of 708 in exponential form is:

708 = 22×31×591

∴ So by taking common prime factors GCF of 703 and 708 is 1

Greatest Common Factor of 703 and 708 by matching factors method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors and prime factorization of 703 and 708. The biggest common factor number is the GCF number.
So the greatest common factor 703 and 708 is 1.

Also check out the Least Common Multiple of 703 and 708

Properties of GCF 703 and 708

(i) The GCF of 703 and 708 is associative

GCF of 703 and 708 = GCF of 708 and 703

Related Greatest Common Factor of 703

Related Greatest Common Factor of 708

Frequently Asked Questions on GCF of 703 and 708

1. What is the GCF of 703 and 708?

Answer: GCF of 703 and 708 is 1.

2. What are the Factors of 703?

Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.

3. What are the Factors of 708?

Answer: Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. There are 12 integers that are factors of 708. The greatest factor of 708 is 708.

4. How to Find the GCF of 703 and 708?

Answer:

Greatest Common Factor of 703 and 708 = 1

Step 1: Find the prime factorization of 703

703 = 19 x 37

Step 2: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

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 703 and 708 is 1