What is the Greatest Common Factor of 57480 and 57500?
Greatest common factor (GCF) of 57480 and 57500 is 20.
GCF(57480,57500) = 20
We will now calculate the prime factors of 57480 and 57500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57480 and 57500.
How to find the GCF of 57480 and 57500?
We will first find the prime factorization of 57480 and 57500. After we will calculate the factors of 57480 and 57500 and find the biggest common factor number .
Step-1: Prime Factorization of 57480
Prime factors of 57480 are 2, 3, 5, 479. Prime factorization of 57480 in exponential form is:
57480 = 23 × 31 × 51 × 4791
Step-2: Prime Factorization of 57500
Prime factors of 57500 are 2, 5, 23. Prime factorization of 57500 in exponential form is:
57500 = 22 × 54 × 231
Step-3: Factors of 57480
List of positive integer factors of 57480 that divides 57480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 479, 958, 1437, 1916, 2395, 2874, 3832, 4790, 5748, 7185, 9580, 11496, 14370, 19160, 28740
Step-4: Factors of 57500
List of positive integer factors of 57500 that divides 57480 without a remainder.
1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 125, 230, 250, 460, 500, 575, 625, 1150, 1250, 2300, 2500, 2875, 5750, 11500, 14375, 28750
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 57480 and 57500. The biggest common factor number is the GCF number.
So the greatest common factor 57480 and 57500 is 20.
Also check out the Least Common Multiple of 57480 and 57500
Related Greatest Common Factors of 57480
- GCF of 57480 and 57484
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- GCF of 57480 and 57492
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- GCF of 57480 and 57496
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Related Greatest Common Factors of 57500
- GCF of 57500 and 57504
- GCF of 57500 and 57505
- GCF of 57500 and 57506
- GCF of 57500 and 57507
- GCF of 57500 and 57508
- GCF of 57500 and 57509
- GCF of 57500 and 57510
- GCF of 57500 and 57511
- GCF of 57500 and 57512
- GCF of 57500 and 57513
- GCF of 57500 and 57514
- GCF of 57500 and 57515
- GCF of 57500 and 57516
- GCF of 57500 and 57517
- GCF of 57500 and 57518
- GCF of 57500 and 57519
- GCF of 57500 and 57520