What is the Greatest Common Factor of 71292 and 71305?
Greatest common factor (GCF) of 71292 and 71305 is 13.
GCF(71292,71305) = 13
We will now calculate the prime factors of 71292 and 71305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71292 and 71305.
How to find the GCF of 71292 and 71305?
We will first find the prime factorization of 71292 and 71305. After we will calculate the factors of 71292 and 71305 and find the biggest common factor number .
Step-1: Prime Factorization of 71292
Prime factors of 71292 are 2, 3, 13, 457. Prime factorization of 71292 in exponential form is:
71292 = 22 × 31 × 131 × 4571
Step-2: Prime Factorization of 71305
Prime factors of 71305 are 5, 13, 1097. Prime factorization of 71305 in exponential form is:
71305 = 51 × 131 × 10971
Step-3: Factors of 71292
List of positive integer factors of 71292 that divides 71292 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 457, 914, 1371, 1828, 2742, 5484, 5941, 11882, 17823, 23764, 35646
Step-4: Factors of 71305
List of positive integer factors of 71305 that divides 71292 without a remainder.
1, 5, 13, 65, 1097, 5485, 14261
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71292 and 71305. The biggest common factor number is the GCF number.
So the greatest common factor 71292 and 71305 is 13.
Also check out the Least Common Multiple of 71292 and 71305
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