Greatest Common Factor of 772 and 780

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 772, 780 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 772 and 780 is 4.

GCF(772,780) = 4

GCF of 772 and 780

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

GCF of:
and

Greatest Common Factor of 772 and 780

GCF of 772 and 780 is 4

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

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2,3,5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

∴ So by taking common prime factors GCF of 772 and 780 is 4

Greatest Common Factor of 772 and 780 by matching factors method

Factors of 772

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

1,2,4,193,386,772

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors and prime factorization of 772 and 780. The biggest common factor number is the GCF number.
So the greatest common factor 772 and 780 is 4.

Also check out the Least Common Multiple of 772 and 780

Properties of GCF 772 and 780

(i) The GCF of 772 and 780 is associative

GCF of 772 and 780 = GCF of 780 and 772

Related Greatest Common Factor of 772

Related Greatest Common Factor of 780

Frequently Asked Questions on GCF of 772 and 780

1. What is the GCF of 772 and 780?

Answer: GCF of 772 and 780 is 4.

2. 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.

3. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

4. How to Find the GCF of 772 and 780?

Answer:

Greatest Common Factor of 772 and 780 = 4

Step 1: Find the prime factorization of 772

772 = 2 x 2 x 193

Step 2: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 772 and 780 is 4