What is the Greatest Common Factor of 90324 and 90332?
Greatest common factor (GCF) of 90324 and 90332 is 4.
GCF(90324,90332) = 4
We will now calculate the prime factors of 90324 and 90332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90324 and 90332.
How to find the GCF of 90324 and 90332?
We will first find the prime factorization of 90324 and 90332. After we will calculate the factors of 90324 and 90332 and find the biggest common factor number .
Step-1: Prime Factorization of 90324
Prime factors of 90324 are 2, 3, 13, 193. Prime factorization of 90324 in exponential form is:
90324 = 22 × 32 × 131 × 1931
Step-2: Prime Factorization of 90332
Prime factors of 90332 are 2, 11, 2053. Prime factorization of 90332 in exponential form is:
90332 = 22 × 111 × 20531
Step-3: Factors of 90324
List of positive integer factors of 90324 that divides 90324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 193, 234, 386, 468, 579, 772, 1158, 1737, 2316, 2509, 3474, 5018, 6948, 7527, 10036, 15054, 22581, 30108, 45162
Step-4: Factors of 90332
List of positive integer factors of 90332 that divides 90324 without a remainder.
1, 2, 4, 11, 22, 44, 2053, 4106, 8212, 22583, 45166
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 90324 and 90332. The biggest common factor number is the GCF number.
So the greatest common factor 90324 and 90332 is 4.
Also check out the Least Common Multiple of 90324 and 90332
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