What is the Greatest Common Factor of 30136 and 30150?
Greatest common factor (GCF) of 30136 and 30150 is 2.
GCF(30136,30150) = 2
We will now calculate the prime factors of 30136 and 30150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30136 and 30150.
How to find the GCF of 30136 and 30150?
We will first find the prime factorization of 30136 and 30150. After we will calculate the factors of 30136 and 30150 and find the biggest common factor number .
Step-1: Prime Factorization of 30136
Prime factors of 30136 are 2, 3767. Prime factorization of 30136 in exponential form is:
30136 = 23 × 37671
Step-2: Prime Factorization of 30150
Prime factors of 30150 are 2, 3, 5, 67. Prime factorization of 30150 in exponential form is:
30150 = 21 × 32 × 52 × 671
Step-3: Factors of 30136
List of positive integer factors of 30136 that divides 30136 without a remainder.
1, 2, 4, 8, 3767, 7534, 15068
Step-4: Factors of 30150
List of positive integer factors of 30150 that divides 30136 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 67, 75, 90, 134, 150, 201, 225, 335, 402, 450, 603, 670, 1005, 1206, 1675, 2010, 3015, 3350, 5025, 6030, 10050, 15075
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30136 and 30150. The biggest common factor number is the GCF number.
So the greatest common factor 30136 and 30150 is 2.
Also check out the Least Common Multiple of 30136 and 30150
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Related Greatest Common Factors of 30150
- GCF of 30150 and 30154
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