Greatest Common Factor of 7874 and 7877

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 7874, 7877 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7874 and 7877 is 1.

GCF(7874,7877) = 1

GCF of 7874 and 7877

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

GCF of:
and

Greatest Common Factor of 7874 and 7877

GCF of 7874 and 7877 is 1

Prime Factorization of 7874


2 7874
31 3937
127 127
1

Prime factors of 7874 are 2,31,127. Prime factorization of 7874 in exponential form is:

7874 = 21×311×1271

Prime Factorization of 7877


7877 7877
1

Prime factors of 7877 are 7877. Prime factorization of 7877 in exponential form is:

7877 = 78771

∴ So by taking common prime factors GCF of 7874 and 7877 is 1

Greatest Common Factor of 7874 and 7877 by matching factors method

Factors of 7874

List of positive integer factors of 7874 that divides 7874 without a remainder.

1,2,31,62,127,254,3937,7874

Factors of 7877

List of positive integer factors of 7877 that divides 7877 without a remainder.

1,7877

Greatest Common Factor

We found the factors and prime factorization of 7874 and 7877. The biggest common factor number is the GCF number.
So the greatest common factor 7874 and 7877 is 1.

Also check out the Least Common Multiple of 7874 and 7877

Properties of GCF 7874 and 7877

(i) The GCF of 7874 and 7877 is associative

GCF of 7874 and 7877 = GCF of 7877 and 7874

Related Greatest Common Factor of 7874

Related Greatest Common Factor of 7877

Frequently Asked Questions on GCF of 7874 and 7877

1. What is the GCF of 7874 and 7877?

Answer: GCF of 7874 and 7877 is 1.

2. What are the Factors of 7874?

Answer: Factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874. There are 8 integers that are factors of 7874. The greatest factor of 7874 is 7874.

3. What are the Factors of 7877?

Answer: Factors of 7877 are 1, 7877. There are 2 integers that are factors of 7877. The greatest factor of 7877 is 7877.

4. How to Find the GCF of 7874 and 7877?

Answer:

Greatest Common Factor of 7874 and 7877 = 1

Step 1: Find the prime factorization of 7874

7874 = 2 x 31 x 127

Step 2: Find the prime factorization of 7877

7877 = 7877

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 7874 and 7877 is 1