Greatest Common Factor of 31300 and 31302

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 31300, 31302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31300 and 31302 is 2.

GCF(31300,31302) = 2

GCF of 31300 and 31302

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

GCF of:
and

Greatest Common Factor of 31300 and 31302

GCF of 31300 and 31302 is 2

Prime Factorization of 31300


2 31300
2 15650
5 7825
5 1565
313 313
1

Prime factors of 31300 are 2,5,313. Prime factorization of 31300 in exponential form is:

31300 = 22×52×3131

Prime Factorization of 31302


2 31302
3 15651
3 5217
37 1739
47 47
1

Prime factors of 31302 are 2,3,37,47. Prime factorization of 31302 in exponential form is:

31302 = 21×32×371×471

∴ So by taking common prime factors GCF of 31300 and 31302 is 2

Greatest Common Factor of 31300 and 31302 by matching factors method

Factors of 31300

List of positive integer factors of 31300 that divides 31300 without a remainder.

1,2,4,5,10,20,25,50,100,313,626,1252,1565,3130,6260,7825,15650,31300

Factors of 31302

List of positive integer factors of 31302 that divides 31302 without a remainder.

1,2,3,6,9,18,37,47,74,94,111,141,222,282,333,423,666,846,1739,3478,5217,10434,15651,31302

Greatest Common Factor

We found the factors and prime factorization of 31300 and 31302. The biggest common factor number is the GCF number.
So the greatest common factor 31300 and 31302 is 2.

Also check out the Least Common Multiple of 31300 and 31302

Properties of GCF 31300 and 31302

(i) The GCF of 31300 and 31302 is associative

GCF of 31300 and 31302 = GCF of 31302 and 31300

Related Greatest Common Factor of 31300

Related Greatest Common Factor of 31302

Frequently Asked Questions on GCF of 31300 and 31302

1. What is the GCF of 31300 and 31302?

Answer: GCF of 31300 and 31302 is 2.

2. What are the Factors of 31300?

Answer: Factors of 31300 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 313, 626, 1252, 1565, 3130, 6260, 7825, 15650, 31300. There are 18 integers that are factors of 31300. The greatest factor of 31300 is 31300.

3. What are the Factors of 31302?

Answer: Factors of 31302 are 1, 2, 3, 6, 9, 18, 37, 47, 74, 94, 111, 141, 222, 282, 333, 423, 666, 846, 1739, 3478, 5217, 10434, 15651, 31302. There are 24 integers that are factors of 31302. The greatest factor of 31302 is 31302.

4. How to Find the GCF of 31300 and 31302?

Answer:

Greatest Common Factor of 31300 and 31302 = 2

Step 1: Find the prime factorization of 31300

31300 = 2 x 2 x 5 x 5 x 313

Step 2: Find the prime factorization of 31302

31302 = 2 x 3 x 3 x 37 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 31300 and 31302 is 2