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 44, 62 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 44 and 62 is 2.
GCF(44,62) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 44
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:
44 = 22×111
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 44 and 62 is 2
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
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 44 and 62. The biggest common factor number is the GCF number.
So the greatest common factor 44 and 62 is 2.
Also check out the Least Common Multiple of 44 and 62
(i) The GCF of 44 and 62 is associative
GCF of 44 and 62 = GCF of 62 and 44
1. What is the GCF of 44 and 62?
Answer: GCF of 44 and 62 is 2.
2. What are the Factors of 44?
Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.
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 44 and 62?
Answer:
Greatest Common Factor of 44 and 62 = 2
Step 1: Find the prime factorization of 44
44 = 2 x 2 x 11
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 44 and 62 is 2