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What is the Greatest Common Factor of 70501 and 70518?

Greatest common factor (GCF) of 70501 and 70518 is 1.

GCF(70501,70518) = 1

We will now calculate the prime factors of 70501 and 70518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70501 and 70518.

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How to find the GCF of 70501 and 70518?

We will first find the prime factorization of 70501 and 70518. After we will calculate the factors of 70501 and 70518 and find the biggest common factor number .

Step-1: Prime Factorization of 70501

Prime factors of 70501 are 70501. Prime factorization of 70501 in exponential form is:

70501 = 705011

Step-2: Prime Factorization of 70518

Prime factors of 70518 are 2, 3, 7, 23, 73. Prime factorization of 70518 in exponential form is:

70518 = 21 × 31 × 71 × 231 × 731

Step-3: Factors of 70501

List of positive integer factors of 70501 that divides 70501 without a remainder.

1

Step-4: Factors of 70518

List of positive integer factors of 70518 that divides 70501 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 73, 138, 146, 161, 219, 322, 438, 483, 511, 966, 1022, 1533, 1679, 3066, 3358, 5037, 10074, 11753, 23506, 35259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70501 and 70518. The biggest common factor number is the GCF number.
So the greatest common factor 70501 and 70518 is 1.

Also check out the Least Common Multiple of 70501 and 70518