Greatest Common Factor of 10070 and 10077

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 10070, 10077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10070 and 10077 is 1.

GCF(10070,10077) = 1

GCF of 10070 and 10077

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

GCF of:
and

Greatest Common Factor of 10070 and 10077

GCF of 10070 and 10077 is 1

Prime Factorization of 10070


2 10070
5 5035
19 1007
53 53
1

Prime factors of 10070 are 2,5,19,53. Prime factorization of 10070 in exponential form is:

10070 = 21×51×191×531

Prime Factorization of 10077


3 10077
3359 3359
1

Prime factors of 10077 are 3,3359. Prime factorization of 10077 in exponential form is:

10077 = 31×33591

∴ So by taking common prime factors GCF of 10070 and 10077 is 1

Greatest Common Factor of 10070 and 10077 by matching factors method

Factors of 10070

List of positive integer factors of 10070 that divides 10070 without a remainder.

1,2,5,10,19,38,53,95,106,190,265,530,1007,2014,5035,10070

Factors of 10077

List of positive integer factors of 10077 that divides 10077 without a remainder.

1,3,3359,10077

Greatest Common Factor

We found the factors and prime factorization of 10070 and 10077. The biggest common factor number is the GCF number.
So the greatest common factor 10070 and 10077 is 1.

Also check out the Least Common Multiple of 10070 and 10077

Properties of GCF 10070 and 10077

(i) The GCF of 10070 and 10077 is associative

GCF of 10070 and 10077 = GCF of 10077 and 10070

Related Greatest Common Factor of 10070

Related Greatest Common Factor of 10077

Frequently Asked Questions on GCF of 10070 and 10077

1. What is the GCF of 10070 and 10077?

Answer: GCF of 10070 and 10077 is 1.

2. What are the Factors of 10070?

Answer: Factors of 10070 are 1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070. There are 16 integers that are factors of 10070. The greatest factor of 10070 is 10070.

3. What are the Factors of 10077?

Answer: Factors of 10077 are 1, 3, 3359, 10077. There are 4 integers that are factors of 10077. The greatest factor of 10077 is 10077.

4. How to Find the GCF of 10070 and 10077?

Answer:

Greatest Common Factor of 10070 and 10077 = 1

Step 1: Find the prime factorization of 10070

10070 = 2 x 5 x 19 x 53

Step 2: Find the prime factorization of 10077

10077 = 3 x 3359

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 10070 and 10077 is 1