The greatest common factor of 30 and 75 is 15.
Method 1: Listing Factors
List all the factors of both numbers and the highest factor that is the same is the greatest common factor.
Factors of 30: 1, 2, 3, 5, 6, 10, 15
Factors of 75: 1, 3, 5, 15, 25
The greatest common factor is 15.
Method 2: Prime Factorization
Find the prime factorization of each number. The prime numbers that the numbers all share multiply to the great common factor.
30=2*3*5
75=3*5*5
3*5=15
30 and 75 share one 3 and one 5. Therefore, the greatest common factor is 15.
150 30:60,90,120,150,180... 75:150...
The GCF is 15.
The GCF is 15.
The LCM of 30 and 75 is 150. Their GCF is 15.
The GCF is 1.
The GCF is 3.
The GCF is 15.
GCF(36, 36, 75) = 3.
The GCF of 30 and 75 is 15
The GCF is 15.
The GCF is 15.
The GCF is 5.