What is the Greatest Common Factor of 59829 and 59837?
Greatest common factor (GCF) of 59829 and 59837 is 1.
GCF(59829,59837) = 1
We will now calculate the prime factors of 59829 and 59837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59829 and 59837.
How to find the GCF of 59829 and 59837?
We will first find the prime factorization of 59829 and 59837. After we will calculate the factors of 59829 and 59837 and find the biggest common factor number .
Step-1: Prime Factorization of 59829
Prime factors of 59829 are 3, 7, 11, 37. Prime factorization of 59829 in exponential form is:
59829 = 31 × 72 × 111 × 371
Step-2: Prime Factorization of 59837
Prime factors of 59837 are 53, 1129. Prime factorization of 59837 in exponential form is:
59837 = 531 × 11291
Step-3: Factors of 59829
List of positive integer factors of 59829 that divides 59829 without a remainder.
1, 3, 7, 11, 21, 33, 37, 49, 77, 111, 147, 231, 259, 407, 539, 777, 1221, 1617, 1813, 2849, 5439, 8547, 19943
Step-4: Factors of 59837
List of positive integer factors of 59837 that divides 59829 without a remainder.
1, 53, 1129
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59829 and 59837. The biggest common factor number is the GCF number.
So the greatest common factor 59829 and 59837 is 1.
Also check out the Least Common Multiple of 59829 and 59837
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