What is the Greatest Common Factor of 38970 and 38981?
Greatest common factor (GCF) of 38970 and 38981 is 1.
GCF(38970,38981) = 1
We will now calculate the prime factors of 38970 and 38981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38970 and 38981.
How to find the GCF of 38970 and 38981?
We will first find the prime factorization of 38970 and 38981. After we will calculate the factors of 38970 and 38981 and find the biggest common factor number .
Step-1: Prime Factorization of 38970
Prime factors of 38970 are 2, 3, 5, 433. Prime factorization of 38970 in exponential form is:
38970 = 21 × 32 × 51 × 4331
Step-2: Prime Factorization of 38981
Prime factors of 38981 are 17, 2293. Prime factorization of 38981 in exponential form is:
38981 = 171 × 22931
Step-3: Factors of 38970
List of positive integer factors of 38970 that divides 38970 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 433, 866, 1299, 2165, 2598, 3897, 4330, 6495, 7794, 12990, 19485
Step-4: Factors of 38981
List of positive integer factors of 38981 that divides 38970 without a remainder.
1, 17, 2293
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38970 and 38981. The biggest common factor number is the GCF number.
So the greatest common factor 38970 and 38981 is 1.
Also check out the Least Common Multiple of 38970 and 38981
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