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 56, 62 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 56 and 62 is 2.
GCF(56,62) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 56
2 | 56 |
2 | 28 |
2 | 14 |
7 | 7 |
1 |
Prime factors of 56 are 2,7. Prime factorization of 56 in exponential form is:
56 = 23×71
Prime Factorization of 62
2 | 62 |
31 | 31 |
1 |
Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:
62 = 21×311
∴ So by taking common prime factors GCF of 56 and 62 is 2
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Greatest Common Factor
We found the factors and prime factorization of 56 and 62. The biggest common factor number is the GCF number.
So the greatest common factor 56 and 62 is 2.
Also check out the Least Common Multiple of 56 and 62
(i) The GCF of 56 and 62 is associative
GCF of 56 and 62 = GCF of 62 and 56
1. What is the GCF of 56 and 62?
Answer: GCF of 56 and 62 is 2.
2. What are the Factors of 56?
Answer: Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. There are 8 integers that are factors of 56. The greatest factor of 56 is 56.
3. What are the Factors of 62?
Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.
4. How to Find the GCF of 56 and 62?
Answer:
Greatest Common Factor of 56 and 62 = 2
Step 1: Find the prime factorization of 56
56 = 2 x 2 x 2 x 7
Step 2: Find the prime factorization of 62
62 = 2 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 56 and 62 is 2