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 63, 79 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 63 and 79 is 1.
GCF(63,79) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 63
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:
63 = 32×71
Prime Factorization of 79
79 | 79 |
1 |
Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:
79 = 791
∴ So by taking common prime factors GCF of 63 and 79 is 1
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors and prime factorization of 63 and 79. The biggest common factor number is the GCF number.
So the greatest common factor 63 and 79 is 1.
Also check out the Least Common Multiple of 63 and 79
(i) The GCF of 63 and 79 is associative
GCF of 63 and 79 = GCF of 79 and 63
1. What is the GCF of 63 and 79?
Answer: GCF of 63 and 79 is 1.
2. What are the Factors of 63?
Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.
3. What are the Factors of 79?
Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.
4. How to Find the GCF of 63 and 79?
Answer:
Greatest Common Factor of 63 and 79 = 1
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 79
79 = 79
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 63 and 79 is 1