What is the Greatest Common Factor of 31201 and 31218?
Greatest common factor (GCF) of 31201 and 31218 is 1.
GCF(31201,31218) = 1
We will now calculate the prime factors of 31201 and 31218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31201 and 31218.
How to find the GCF of 31201 and 31218?
We will first find the prime factorization of 31201 and 31218. After we will calculate the factors of 31201 and 31218 and find the biggest common factor number .
Step-1: Prime Factorization of 31201
Prime factors of 31201 are 41, 761. Prime factorization of 31201 in exponential form is:
31201 = 411 × 7611
Step-2: Prime Factorization of 31218
Prime factors of 31218 are 2, 3, 11, 43. Prime factorization of 31218 in exponential form is:
31218 = 21 × 31 × 112 × 431
Step-3: Factors of 31201
List of positive integer factors of 31201 that divides 31201 without a remainder.
1, 41, 761
Step-4: Factors of 31218
List of positive integer factors of 31218 that divides 31201 without a remainder.
1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 121, 129, 242, 258, 363, 473, 726, 946, 1419, 2838, 5203, 10406, 15609
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 31201 and 31218. The biggest common factor number is the GCF number.
So the greatest common factor 31201 and 31218 is 1.
Also check out the Least Common Multiple of 31201 and 31218
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