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 712, 716 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 712 and 716 is 4.
GCF(712,716) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 712
2 | 712 |
2 | 356 |
2 | 178 |
89 | 89 |
1 |
Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:
712 = 23×891
Prime Factorization of 716
2 | 716 |
2 | 358 |
179 | 179 |
1 |
Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:
716 = 22×1791
∴ So by taking common prime factors GCF of 712 and 716 is 4
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors and prime factorization of 712 and 716. The biggest common factor number is the GCF number.
So the greatest common factor 712 and 716 is 4.
Also check out the Least Common Multiple of 712 and 716
(i) The GCF of 712 and 716 is associative
GCF of 712 and 716 = GCF of 716 and 712
1. What is the GCF of 712 and 716?
Answer: GCF of 712 and 716 is 4.
2. What are the Factors of 712?
Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.
3. What are the Factors of 716?
Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.
4. How to Find the GCF of 712 and 716?
Answer:
Greatest Common Factor of 712 and 716 = 4
Step 1: Find the prime factorization of 712
712 = 2 x 2 x 2 x 89
Step 2: Find the prime factorization of 716
716 = 2 x 2 x 179
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 712 and 716 is 4