What is the Greatest Common Factor of 59436 and 59449?
Greatest common factor (GCF) of 59436 and 59449 is 13.
GCF(59436,59449) = 13
We will now calculate the prime factors of 59436 and 59449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59436 and 59449.
How to find the GCF of 59436 and 59449?
We will first find the prime factorization of 59436 and 59449. After we will calculate the factors of 59436 and 59449 and find the biggest common factor number .
Step-1: Prime Factorization of 59436
Prime factors of 59436 are 2, 3, 13, 127. Prime factorization of 59436 in exponential form is:
59436 = 22 × 32 × 131 × 1271
Step-2: Prime Factorization of 59449
Prime factors of 59449 are 13, 17, 269. Prime factorization of 59449 in exponential form is:
59449 = 131 × 171 × 2691
Step-3: Factors of 59436
List of positive integer factors of 59436 that divides 59436 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 127, 156, 234, 254, 381, 468, 508, 762, 1143, 1524, 1651, 2286, 3302, 4572, 4953, 6604, 9906, 14859, 19812, 29718
Step-4: Factors of 59449
List of positive integer factors of 59449 that divides 59436 without a remainder.
1, 13, 17, 221, 269, 3497, 4573
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59436 and 59449. The biggest common factor number is the GCF number.
So the greatest common factor 59436 and 59449 is 13.
Also check out the Least Common Multiple of 59436 and 59449
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