What is the Greatest Common Factor of 70513 and 70520?
Greatest common factor (GCF) of 70513 and 70520 is 1.
GCF(70513,70520) = 1
We will now calculate the prime factors of 70513 and 70520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70513 and 70520.
How to find the GCF of 70513 and 70520?
We will first find the prime factorization of 70513 and 70520. After we will calculate the factors of 70513 and 70520 and find the biggest common factor number .
Step-1: Prime Factorization of 70513
Prime factors of 70513 are 107, 659. Prime factorization of 70513 in exponential form is:
70513 = 1071 × 6591
Step-2: Prime Factorization of 70520
Prime factors of 70520 are 2, 5, 41, 43. Prime factorization of 70520 in exponential form is:
70520 = 23 × 51 × 411 × 431
Step-3: Factors of 70513
List of positive integer factors of 70513 that divides 70513 without a remainder.
1, 107, 659
Step-4: Factors of 70520
List of positive integer factors of 70520 that divides 70513 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 41, 43, 82, 86, 164, 172, 205, 215, 328, 344, 410, 430, 820, 860, 1640, 1720, 1763, 3526, 7052, 8815, 14104, 17630, 35260
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70513 and 70520. The biggest common factor number is the GCF number.
So the greatest common factor 70513 and 70520 is 1.
Also check out the Least Common Multiple of 70513 and 70520
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