What is the Greatest Common Factor of 24520 and 24540?
Greatest common factor (GCF) of 24520 and 24540 is 20.
GCF(24520,24540) = 20
We will now calculate the prime factors of 24520 and 24540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24520 and 24540.
How to find the GCF of 24520 and 24540?
We will first find the prime factorization of 24520 and 24540. After we will calculate the factors of 24520 and 24540 and find the biggest common factor number .
Step-1: Prime Factorization of 24520
Prime factors of 24520 are 2, 5, 613. Prime factorization of 24520 in exponential form is:
24520 = 23 × 51 × 6131
Step-2: Prime Factorization of 24540
Prime factors of 24540 are 2, 3, 5, 409. Prime factorization of 24540 in exponential form is:
24540 = 22 × 31 × 51 × 4091
Step-3: Factors of 24520
List of positive integer factors of 24520 that divides 24520 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 613, 1226, 2452, 3065, 4904, 6130, 12260
Step-4: Factors of 24540
List of positive integer factors of 24540 that divides 24520 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 409, 818, 1227, 1636, 2045, 2454, 4090, 4908, 6135, 8180, 12270
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 24520 and 24540. The biggest common factor number is the GCF number.
So the greatest common factor 24520 and 24540 is 20.
Also check out the Least Common Multiple of 24520 and 24540
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