What is the Greatest Common Factor of 37315 and 37334?
Greatest common factor (GCF) of 37315 and 37334 is 1.
GCF(37315,37334) = 1
We will now calculate the prime factors of 37315 and 37334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37315 and 37334.
How to find the GCF of 37315 and 37334?
We will first find the prime factorization of 37315 and 37334. After we will calculate the factors of 37315 and 37334 and find the biggest common factor number .
Step-1: Prime Factorization of 37315
Prime factors of 37315 are 5, 17, 439. Prime factorization of 37315 in exponential form is:
37315 = 51 × 171 × 4391
Step-2: Prime Factorization of 37334
Prime factors of 37334 are 2, 11, 1697. Prime factorization of 37334 in exponential form is:
37334 = 21 × 111 × 16971
Step-3: Factors of 37315
List of positive integer factors of 37315 that divides 37315 without a remainder.
1, 5, 17, 85, 439, 2195, 7463
Step-4: Factors of 37334
List of positive integer factors of 37334 that divides 37315 without a remainder.
1, 2, 11, 22, 1697, 3394, 18667
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 37315 and 37334. The biggest common factor number is the GCF number.
So the greatest common factor 37315 and 37334 is 1.
Also check out the Least Common Multiple of 37315 and 37334
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Related Greatest Common Factors of 37334
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