What is the Greatest Common Factor of 90946 and 90954?
Greatest common factor (GCF) of 90946 and 90954 is 2.
GCF(90946,90954) = 2
We will now calculate the prime factors of 90946 and 90954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90946 and 90954.
How to find the GCF of 90946 and 90954?
We will first find the prime factorization of 90946 and 90954. After we will calculate the factors of 90946 and 90954 and find the biggest common factor number .
Step-1: Prime Factorization of 90946
Prime factors of 90946 are 2, 37, 1229. Prime factorization of 90946 in exponential form is:
90946 = 21 × 371 × 12291
Step-2: Prime Factorization of 90954
Prime factors of 90954 are 2, 3, 31, 163. Prime factorization of 90954 in exponential form is:
90954 = 21 × 32 × 311 × 1631
Step-3: Factors of 90946
List of positive integer factors of 90946 that divides 90946 without a remainder.
1, 2, 37, 74, 1229, 2458, 45473
Step-4: Factors of 90954
List of positive integer factors of 90954 that divides 90946 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 163, 186, 279, 326, 489, 558, 978, 1467, 2934, 5053, 10106, 15159, 30318, 45477
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 90946 and 90954. The biggest common factor number is the GCF number.
So the greatest common factor 90946 and 90954 is 2.
Also check out the Least Common Multiple of 90946 and 90954
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