What is the Greatest Common Factor of 59633 and 59648?
Greatest common factor (GCF) of 59633 and 59648 is 1.
GCF(59633,59648) = 1
We will now calculate the prime factors of 59633 and 59648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59633 and 59648.
How to find the GCF of 59633 and 59648?
We will first find the prime factorization of 59633 and 59648. After we will calculate the factors of 59633 and 59648 and find the biggest common factor number .
Step-1: Prime Factorization of 59633
Prime factors of 59633 are 7, 1217. Prime factorization of 59633 in exponential form is:
59633 = 72 × 12171
Step-2: Prime Factorization of 59648
Prime factors of 59648 are 2, 233. Prime factorization of 59648 in exponential form is:
59648 = 28 × 2331
Step-3: Factors of 59633
List of positive integer factors of 59633 that divides 59633 without a remainder.
1, 7, 49, 1217, 8519
Step-4: Factors of 59648
List of positive integer factors of 59648 that divides 59633 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912, 29824
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59633 and 59648. The biggest common factor number is the GCF number.
So the greatest common factor 59633 and 59648 is 1.
Also check out the Least Common Multiple of 59633 and 59648
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