What is the Greatest Common Factor of 91498 and 91509?
Greatest common factor (GCF) of 91498 and 91509 is 11.
GCF(91498,91509) = 11
We will now calculate the prime factors of 91498 and 91509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91498 and 91509.
How to find the GCF of 91498 and 91509?
We will first find the prime factorization of 91498 and 91509. After we will calculate the factors of 91498 and 91509 and find the biggest common factor number .
Step-1: Prime Factorization of 91498
Prime factors of 91498 are 2, 11, 4159. Prime factorization of 91498 in exponential form is:
91498 = 21 × 111 × 41591
Step-2: Prime Factorization of 91509
Prime factors of 91509 are 3, 11, 47, 59. Prime factorization of 91509 in exponential form is:
91509 = 31 × 111 × 471 × 591
Step-3: Factors of 91498
List of positive integer factors of 91498 that divides 91498 without a remainder.
1, 2, 11, 22, 4159, 8318, 45749
Step-4: Factors of 91509
List of positive integer factors of 91509 that divides 91498 without a remainder.
1, 3, 11, 33, 47, 59, 141, 177, 517, 649, 1551, 1947, 2773, 8319, 30503
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 91498 and 91509. The biggest common factor number is the GCF number.
So the greatest common factor 91498 and 91509 is 11.
Also check out the Least Common Multiple of 91498 and 91509
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