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, 7 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 63 and 7 is 7.
GCF(63,7) = 7
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 7
7 | 7 |
1 |
Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:
7 = 71
∴ So by taking common prime factors GCF of 63 and 7 is 7
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Greatest Common Factor
We found the factors and prime factorization of 63 and 7. The biggest common factor number is the GCF number.
So the greatest common factor 63 and 7 is 7.
Also check out the Least Common Multiple of 63 and 7
(i) The GCF of 63 and 7 is associative
GCF of 63 and 7 = GCF of 7 and 63
1. What is the GCF of 63 and 7?
Answer: GCF of 63 and 7 is 7.
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 7?
Answer: Factors of 7 are 1, 7. There are 2 integers that are factors of 7. The greatest factor of 7 is 7.
4. How to Find the GCF of 63 and 7?
Answer:
Greatest Common Factor of 63 and 7 = 7
Step 1: Find the prime factorization of 63
63 = 3 x 3 x 7
Step 2: Find the prime factorization of 7
7 = 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 63 and 7 is 7