Greatest Common Factor of 767 and 772

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 767, 772 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 767 and 772 is 1.

GCF(767,772) = 1

GCF of 767 and 772

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

GCF of:
and

Greatest Common Factor of 767 and 772

GCF of 767 and 772 is 1

Prime Factorization of 767


13 767
59 59
1

Prime factors of 767 are 13,59. Prime factorization of 767 in exponential form is:

767 = 131×591

Prime Factorization of 772


2 772
2 386
193 193
1

Prime factors of 772 are 2,193. Prime factorization of 772 in exponential form is:

772 = 22×1931

∴ So by taking common prime factors GCF of 767 and 772 is 1

Greatest Common Factor of 767 and 772 by matching factors method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors and prime factorization of 767 and 772. The biggest common factor number is the GCF number.
So the greatest common factor 767 and 772 is 1.

Also check out the Least Common Multiple of 767 and 772

Properties of GCF 767 and 772

(i) The GCF of 767 and 772 is associative

GCF of 767 and 772 = GCF of 772 and 767

Related Greatest Common Factor of 767

Related Greatest Common Factor of 772

Frequently Asked Questions on GCF of 767 and 772

1. What is the GCF of 767 and 772?

Answer: GCF of 767 and 772 is 1.

2. What are the Factors of 767?

Answer: Factors of 767 are 1, 13, 59, 767. There are 4 integers that are factors of 767. The greatest factor of 767 is 767.

3. What are the Factors of 772?

Answer: Factors of 772 are 1, 2, 4, 193, 386, 772. There are 6 integers that are factors of 772. The greatest factor of 772 is 772.

4. How to Find the GCF of 767 and 772?

Answer:

Greatest Common Factor of 767 and 772 = 1

Step 1: Find the prime factorization of 767

767 = 13 x 59

Step 2: Find the prime factorization of 772

772 = 2 x 2 x 193

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 767 and 772 is 1