What is the Greatest Common Factor of 24575 and 24580?
Greatest common factor (GCF) of 24575 and 24580 is 5.
GCF(24575,24580) = 5
We will now calculate the prime factors of 24575 and 24580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24575 and 24580.
How to find the GCF of 24575 and 24580?
We will first find the prime factorization of 24575 and 24580. After we will calculate the factors of 24575 and 24580 and find the biggest common factor number .
Step-1: Prime Factorization of 24575
Prime factors of 24575 are 5, 983. Prime factorization of 24575 in exponential form is:
24575 = 52 × 9831
Step-2: Prime Factorization of 24580
Prime factors of 24580 are 2, 5, 1229. Prime factorization of 24580 in exponential form is:
24580 = 22 × 51 × 12291
Step-3: Factors of 24575
List of positive integer factors of 24575 that divides 24575 without a remainder.
1, 5, 25, 983, 4915
Step-4: Factors of 24580
List of positive integer factors of 24580 that divides 24575 without a remainder.
1, 2, 4, 5, 10, 20, 1229, 2458, 4916, 6145, 12290
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24575 and 24580. The biggest common factor number is the GCF number.
So the greatest common factor 24575 and 24580 is 5.
Also check out the Least Common Multiple of 24575 and 24580
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