What is the Greatest Common Factor of 25232 and 25252?
Greatest common factor (GCF) of 25232 and 25252 is 4.
GCF(25232,25252) = 4
We will now calculate the prime factors of 25232 and 25252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25232 and 25252.
How to find the GCF of 25232 and 25252?
We will first find the prime factorization of 25232 and 25252. After we will calculate the factors of 25232 and 25252 and find the biggest common factor number .
Step-1: Prime Factorization of 25232
Prime factors of 25232 are 2, 19, 83. Prime factorization of 25232 in exponential form is:
25232 = 24 × 191 × 831
Step-2: Prime Factorization of 25252
Prime factors of 25252 are 2, 59, 107. Prime factorization of 25252 in exponential form is:
25252 = 22 × 591 × 1071
Step-3: Factors of 25232
List of positive integer factors of 25232 that divides 25232 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 83, 152, 166, 304, 332, 664, 1328, 1577, 3154, 6308, 12616
Step-4: Factors of 25252
List of positive integer factors of 25252 that divides 25232 without a remainder.
1, 2, 4, 59, 107, 118, 214, 236, 428, 6313, 12626
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25232 and 25252. The biggest common factor number is the GCF number.
So the greatest common factor 25232 and 25252 is 4.
Also check out the Least Common Multiple of 25232 and 25252
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