What is the Greatest Common Factor of 24140 and 24160?
Greatest common factor (GCF) of 24140 and 24160 is 20.
GCF(24140,24160) = 20
We will now calculate the prime factors of 24140 and 24160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24140 and 24160.
How to find the GCF of 24140 and 24160?
We will first find the prime factorization of 24140 and 24160. After we will calculate the factors of 24140 and 24160 and find the biggest common factor number .
Step-1: Prime Factorization of 24140
Prime factors of 24140 are 2, 5, 17, 71. Prime factorization of 24140 in exponential form is:
24140 = 22 × 51 × 171 × 711
Step-2: Prime Factorization of 24160
Prime factors of 24160 are 2, 5, 151. Prime factorization of 24160 in exponential form is:
24160 = 25 × 51 × 1511
Step-3: Factors of 24140
List of positive integer factors of 24140 that divides 24140 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 71, 85, 142, 170, 284, 340, 355, 710, 1207, 1420, 2414, 4828, 6035, 12070
Step-4: Factors of 24160
List of positive integer factors of 24160 that divides 24140 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 151, 160, 302, 604, 755, 1208, 1510, 2416, 3020, 4832, 6040, 12080
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24140 and 24160. The biggest common factor number is the GCF number.
So the greatest common factor 24140 and 24160 is 20.
Also check out the Least Common Multiple of 24140 and 24160
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