What is the Greatest Common Factor of 52995 and 53000?
Greatest common factor (GCF) of 52995 and 53000 is 5.
GCF(52995,53000) = 5
We will now calculate the prime factors of 52995 and 53000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52995 and 53000.
How to find the GCF of 52995 and 53000?
We will first find the prime factorization of 52995 and 53000. After we will calculate the factors of 52995 and 53000 and find the biggest common factor number .
Step-1: Prime Factorization of 52995
Prime factors of 52995 are 3, 5, 3533. Prime factorization of 52995 in exponential form is:
52995 = 31 × 51 × 35331
Step-2: Prime Factorization of 53000
Prime factors of 53000 are 2, 5, 53. Prime factorization of 53000 in exponential form is:
53000 = 23 × 53 × 531
Step-3: Factors of 52995
List of positive integer factors of 52995 that divides 52995 without a remainder.
1, 3, 5, 15, 3533, 10599, 17665
Step-4: Factors of 53000
List of positive integer factors of 53000 that divides 52995 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 53, 100, 106, 125, 200, 212, 250, 265, 424, 500, 530, 1000, 1060, 1325, 2120, 2650, 5300, 6625, 10600, 13250, 26500
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 52995 and 53000. The biggest common factor number is the GCF number.
So the greatest common factor 52995 and 53000 is 5.
Also check out the Least Common Multiple of 52995 and 53000
Related Greatest Common Factors of 52995
- GCF of 52995 and 52999
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Related Greatest Common Factors of 53000
- GCF of 53000 and 53004
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