What is the Greatest Common Factor of 59505 and 59521?
Greatest common factor (GCF) of 59505 and 59521 is 1.
GCF(59505,59521) = 1
We will now calculate the prime factors of 59505 and 59521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59505 and 59521.
How to find the GCF of 59505 and 59521?
We will first find the prime factorization of 59505 and 59521. After we will calculate the factors of 59505 and 59521 and find the biggest common factor number .
Step-1: Prime Factorization of 59505
Prime factors of 59505 are 3, 5, 3967. Prime factorization of 59505 in exponential form is:
59505 = 31 × 51 × 39671
Step-2: Prime Factorization of 59521
Prime factors of 59521 are 7, 11, 773. Prime factorization of 59521 in exponential form is:
59521 = 71 × 111 × 7731
Step-3: Factors of 59505
List of positive integer factors of 59505 that divides 59505 without a remainder.
1, 3, 5, 15, 3967, 11901, 19835
Step-4: Factors of 59521
List of positive integer factors of 59521 that divides 59505 without a remainder.
1, 7, 11, 77, 773, 5411, 8503
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 59505 and 59521. The biggest common factor number is the GCF number.
So the greatest common factor 59505 and 59521 is 1.
Also check out the Least Common Multiple of 59505 and 59521
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