What is the Greatest Common Factor of 350 and 370?
Greatest common factor (GCF) of 350 and 370 is 10.
GCF(350,370) = 10
We will now calculate the prime factors of 350 and 370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 350 and 370.
How to find the GCF of 350 and 370?
We will first find the prime factorization of 350 and 370. After we will calculate the factors of 350 and 370 and find the biggest common factor number .
Step-1: Prime Factorization of 350
Prime factors of 350 are 2, 5, 7. Prime factorization of 350 in exponential form is:
350 = 21 × 52 × 71
Step-2: Prime Factorization of 370
Prime factors of 370 are 2, 5, 37. Prime factorization of 370 in exponential form is:
370 = 21 × 51 × 371
Step-3: Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175
Step-4: Factors of 370
List of positive integer factors of 370 that divides 350 without a remainder.
1, 2, 5, 10, 37, 74, 185
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 350 and 370. The biggest common factor number is the GCF number.
So the greatest common factor 350 and 370 is 10.
Also check out the Least Common Multiple of 350 and 370
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