What is the Greatest Common Factor of 87748 and 87765?
Greatest common factor (GCF) of 87748 and 87765 is 1.
GCF(87748,87765) = 1
We will now calculate the prime factors of 87748 and 87765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87748 and 87765.
How to find the GCF of 87748 and 87765?
We will first find the prime factorization of 87748 and 87765. After we will calculate the factors of 87748 and 87765 and find the biggest common factor number .
Step-1: Prime Factorization of 87748
Prime factors of 87748 are 2, 21937. Prime factorization of 87748 in exponential form is:
87748 = 22 × 219371
Step-2: Prime Factorization of 87765
Prime factors of 87765 are 3, 5, 5851. Prime factorization of 87765 in exponential form is:
87765 = 31 × 51 × 58511
Step-3: Factors of 87748
List of positive integer factors of 87748 that divides 87748 without a remainder.
1, 2, 4, 21937, 43874
Step-4: Factors of 87765
List of positive integer factors of 87765 that divides 87748 without a remainder.
1, 3, 5, 15, 5851, 17553, 29255
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 87748 and 87765. The biggest common factor number is the GCF number.
So the greatest common factor 87748 and 87765 is 1.
Also check out the Least Common Multiple of 87748 and 87765
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