What is the Greatest Common Factor of 49 and 55?
Greatest common factor (GCF) of 49 and 55 is 1.
GCF(49,55) = 1
We will now calculate the prime factors of 49 and 55, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49 and 55.
How to find the GCF of 49 and 55?
We will first find the prime factorization of 49 and 55. After we will calculate the factors of 49 and 55 and find the biggest common factor number .
Step-1: Prime Factorization of 49
Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:
49 = 72
Step-2: Prime Factorization of 55
Prime factors of 55 are 5, 11. Prime factorization of 55 in exponential form is:
55 = 51 × 111
Step-3: Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1, 7
Step-4: Factors of 55
List of positive integer factors of 55 that divides 49 without a remainder.
1, 5, 11
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49 and 55. The biggest common factor number is the GCF number.
So the greatest common factor 49 and 55 is 1.
Also check out the Least Common Multiple of 49 and 55