What is the Greatest Common Factor of 48150 and 48170?
Greatest common factor (GCF) of 48150 and 48170 is 10.
GCF(48150,48170) = 10
We will now calculate the prime factors of 48150 and 48170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48150 and 48170.
How to find the GCF of 48150 and 48170?
We will first find the prime factorization of 48150 and 48170. After we will calculate the factors of 48150 and 48170 and find the biggest common factor number .
Step-1: Prime Factorization of 48150
Prime factors of 48150 are 2, 3, 5, 107. Prime factorization of 48150 in exponential form is:
48150 = 21 × 32 × 52 × 1071
Step-2: Prime Factorization of 48170
Prime factors of 48170 are 2, 5, 4817. Prime factorization of 48170 in exponential form is:
48170 = 21 × 51 × 48171
Step-3: Factors of 48150
List of positive integer factors of 48150 that divides 48150 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 107, 150, 214, 225, 321, 450, 535, 642, 963, 1070, 1605, 1926, 2675, 3210, 4815, 5350, 8025, 9630, 16050, 24075
Step-4: Factors of 48170
List of positive integer factors of 48170 that divides 48150 without a remainder.
1, 2, 5, 10, 4817, 9634, 24085
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 48150 and 48170. The biggest common factor number is the GCF number.
So the greatest common factor 48150 and 48170 is 10.
Also check out the Least Common Multiple of 48150 and 48170
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