Greatest Common Factor of 702 and 707

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 702, 707 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 702 and 707 is 1.

GCF(702,707) = 1

GCF of 702 and 707

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

GCF of:
and

Greatest Common Factor of 702 and 707

GCF of 702 and 707 is 1

Prime Factorization of 702


2 702
3 351
3 117
3 39
13 13
1

Prime factors of 702 are 2,3,13. Prime factorization of 702 in exponential form is:

702 = 21×33×131

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

∴ So by taking common prime factors GCF of 702 and 707 is 1

Greatest Common Factor of 702 and 707 by matching factors method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 707

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

1,7,101,707

Greatest Common Factor

We found the factors and prime factorization of 702 and 707. The biggest common factor number is the GCF number.
So the greatest common factor 702 and 707 is 1.

Also check out the Least Common Multiple of 702 and 707

Properties of GCF 702 and 707

(i) The GCF of 702 and 707 is associative

GCF of 702 and 707 = GCF of 707 and 702

Related Greatest Common Factor of 702

Related Greatest Common Factor of 707

Frequently Asked Questions on GCF of 702 and 707

1. What is the GCF of 702 and 707?

Answer: GCF of 702 and 707 is 1.

2. What are the Factors of 702?

Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.

3. 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.

4. How to Find the GCF of 702 and 707?

Answer:

Greatest Common Factor of 702 and 707 = 1

Step 1: Find the prime factorization of 702

702 = 2 x 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 707

707 = 7 x 101

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 702 and 707 is 1