What is the Greatest Common Factor of 98766 and 98785?
Greatest common factor (GCF) of 98766 and 98785 is 1.
GCF(98766,98785) = 1
We will now calculate the prime factors of 98766 and 98785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98766 and 98785.
How to find the GCF of 98766 and 98785?
We will first find the prime factorization of 98766 and 98785. After we will calculate the factors of 98766 and 98785 and find the biggest common factor number .
Step-1: Prime Factorization of 98766
Prime factors of 98766 are 2, 3, 31, 59. Prime factorization of 98766 in exponential form is:
98766 = 21 × 33 × 311 × 591
Step-2: Prime Factorization of 98785
Prime factors of 98785 are 5, 23, 859. Prime factorization of 98785 in exponential form is:
98785 = 51 × 231 × 8591
Step-3: Factors of 98766
List of positive integer factors of 98766 that divides 98766 without a remainder.
1, 2, 3, 6, 9, 18, 27, 31, 54, 59, 62, 93, 118, 177, 186, 279, 354, 531, 558, 837, 1062, 1593, 1674, 1829, 3186, 3658, 5487, 10974, 16461, 32922, 49383
Step-4: Factors of 98785
List of positive integer factors of 98785 that divides 98766 without a remainder.
1, 5, 23, 115, 859, 4295, 19757
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98766 and 98785. The biggest common factor number is the GCF number.
So the greatest common factor 98766 and 98785 is 1.
Also check out the Least Common Multiple of 98766 and 98785
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