What is the Greatest Common Factor of 47190 and 47197?
Greatest common factor (GCF) of 47190 and 47197 is 1.
GCF(47190,47197) = 1
We will now calculate the prime factors of 47190 and 47197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47190 and 47197.
How to find the GCF of 47190 and 47197?
We will first find the prime factorization of 47190 and 47197. After we will calculate the factors of 47190 and 47197 and find the biggest common factor number .
Step-1: Prime Factorization of 47190
Prime factors of 47190 are 2, 3, 5, 11, 13. Prime factorization of 47190 in exponential form is:
47190 = 21 × 31 × 51 × 112 × 131
Step-2: Prime Factorization of 47197
Prime factors of 47197 are 109, 433. Prime factorization of 47197 in exponential form is:
47197 = 1091 × 4331
Step-3: Factors of 47190
List of positive integer factors of 47190 that divides 47190 without a remainder.
1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 121, 130, 143, 165, 195, 242, 286, 330, 363, 390, 429, 605, 715, 726, 858, 1210, 1430, 1573, 1815, 2145, 3146, 3630, 4290, 4719, 7865, 9438, 15730, 23595
Step-4: Factors of 47197
List of positive integer factors of 47197 that divides 47190 without a remainder.
1, 109, 433
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 47190 and 47197. The biggest common factor number is the GCF number.
So the greatest common factor 47190 and 47197 is 1.
Also check out the Least Common Multiple of 47190 and 47197
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