What is the Greatest Common Factor of 30 and 37?
Greatest common factor (GCF) of 30 and 37 is 1.
GCF(30,37) = 1
We will now calculate the prime factors of 30 and 37, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30 and 37.
How to find the GCF of 30 and 37?
We will first find the prime factorization of 30 and 37. After we will calculate the factors of 30 and 37 and find the biggest common factor number .
Step-1: Prime Factorization of 30
Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:
30 = 21 × 31 × 51
Step-2: Prime Factorization of 37
Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:
37 = 371
Step-3: Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15
Step-4: Factors of 37
List of positive integer factors of 37 that divides 30 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30 and 37. The biggest common factor number is the GCF number.
So the greatest common factor 30 and 37 is 1.
Also check out the Least Common Multiple of 30 and 37