What is the Greatest Common Factor of 98769 and 98777?
Greatest common factor (GCF) of 98769 and 98777 is 1.
GCF(98769,98777) = 1
We will now calculate the prime factors of 98769 and 98777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98769 and 98777.
How to find the GCF of 98769 and 98777?
We will first find the prime factorization of 98769 and 98777. After we will calculate the factors of 98769 and 98777 and find the biggest common factor number .
Step-1: Prime Factorization of 98769
Prime factors of 98769 are 3, 11, 41, 73. Prime factorization of 98769 in exponential form is:
98769 = 31 × 111 × 411 × 731
Step-2: Prime Factorization of 98777
Prime factors of 98777 are 7, 103, 137. Prime factorization of 98777 in exponential form is:
98777 = 71 × 1031 × 1371
Step-3: Factors of 98769
List of positive integer factors of 98769 that divides 98769 without a remainder.
1, 3, 11, 33, 41, 73, 123, 219, 451, 803, 1353, 2409, 2993, 8979, 32923
Step-4: Factors of 98777
List of positive integer factors of 98777 that divides 98769 without a remainder.
1, 7, 103, 137, 721, 959, 14111
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98769 and 98777. The biggest common factor number is the GCF number.
So the greatest common factor 98769 and 98777 is 1.
Also check out the Least Common Multiple of 98769 and 98777
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