What is the Greatest Common Factor of 70504 and 70518?

Greatest common factor (GCF) of 70504 and 70518 is 14.

GCF(70504,70518) = 14

We will now calculate the prime factors of 70504 and 70518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70504 and 70518.

How to find the GCF of 70504 and 70518?

We will first find the prime factorization of 70504 and 70518. After we will calculate the factors of 70504 and 70518 and find the biggest common factor number .

Step-1: Prime Factorization of 70504

Prime factors of 70504 are 2, 7, 1259. Prime factorization of 70504 in exponential form is:

70504 = 2³ × 7¹ × 1259¹

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 70504

List of positive integer factors of 70504 that divides 70504 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1259, 2518, 5036, 8813, 10072, 17626, 35252

Step-4: Factors of 70518

List of positive integer factors of 70518 that divides 70504 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 70504 and 70518. The biggest common factor number is the GCF number.
So the greatest common factor 70504 and 70518 is 14.

Also check out the Least Common Multiple of 70504 and 70518