What is the Greatest Common Factor of 87449 and 87465?
Greatest common factor (GCF) of 87449 and 87465 is 1.
GCF(87449,87465) = 1
We will now calculate the prime factors of 87449 and 87465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87449 and 87465.
How to find the GCF of 87449 and 87465?
We will first find the prime factorization of 87449 and 87465. After we will calculate the factors of 87449 and 87465 and find the biggest common factor number .
Step-1: Prime Factorization of 87449
Prime factors of 87449 are 157, 557. Prime factorization of 87449 in exponential form is:
87449 = 1571 × 5571
Step-2: Prime Factorization of 87465
Prime factors of 87465 are 3, 5, 7, 17. Prime factorization of 87465 in exponential form is:
87465 = 31 × 51 × 73 × 171
Step-3: Factors of 87449
List of positive integer factors of 87449 that divides 87449 without a remainder.
1, 157, 557
Step-4: Factors of 87465
List of positive integer factors of 87465 that divides 87449 without a remainder.
1, 3, 5, 7, 15, 17, 21, 35, 49, 51, 85, 105, 119, 147, 245, 255, 343, 357, 595, 735, 833, 1029, 1715, 1785, 2499, 4165, 5145, 5831, 12495, 17493, 29155
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 87449 and 87465. The biggest common factor number is the GCF number.
So the greatest common factor 87449 and 87465 is 1.
Also check out the Least Common Multiple of 87449 and 87465
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