Greatest Common Factor of 781 and 784

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 781, 784 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 781 and 784 is 1.

GCF(781,784) = 1

GCF of 781 and 784

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

GCF of:
and

Greatest Common Factor of 781 and 784

GCF of 781 and 784 is 1

Prime Factorization of 781


11 781
71 71
1

Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:

781 = 111×711

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

∴ So by taking common prime factors GCF of 781 and 784 is 1

Greatest Common Factor of 781 and 784 by matching factors method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors and prime factorization of 781 and 784. The biggest common factor number is the GCF number.
So the greatest common factor 781 and 784 is 1.

Also check out the Least Common Multiple of 781 and 784

Properties of GCF 781 and 784

(i) The GCF of 781 and 784 is associative

GCF of 781 and 784 = GCF of 784 and 781

Related Greatest Common Factor of 781

Related Greatest Common Factor of 784

Frequently Asked Questions on GCF of 781 and 784

1. What is the GCF of 781 and 784?

Answer: GCF of 781 and 784 is 1.

2. What are the Factors of 781?

Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.

3. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

4. How to Find the GCF of 781 and 784?

Answer:

Greatest Common Factor of 781 and 784 = 1

Step 1: Find the prime factorization of 781

781 = 11 x 71

Step 2: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

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 781 and 784 is 1