What is the Greatest Common Factor of 70056 and 70074?

Greatest common factor (GCF) of 70056 and 70074 is 18.

GCF(70056,70074) = 18

We will now calculate the prime factors of 70056 and 70074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70056 and 70074.

How to find the GCF of 70056 and 70074?

We will first find the prime factorization of 70056 and 70074. After we will calculate the factors of 70056 and 70074 and find the biggest common factor number .

Step-1: Prime Factorization of 70056

Prime factors of 70056 are 2, 3, 7, 139. Prime factorization of 70056 in exponential form is:

70056 = 2³ × 3² × 7¹ × 139¹

Step-2: Prime Factorization of 70074

Prime factors of 70074 are 2, 3, 17, 229. Prime factorization of 70074 in exponential form is:

70074 = 2¹ × 3² × 17¹ × 229¹

Step-3: Factors of 70056

List of positive integer factors of 70056 that divides 70056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 139, 168, 252, 278, 417, 504, 556, 834, 973, 1112, 1251, 1668, 1946, 2502, 2919, 3336, 3892, 5004, 5838, 7784, 8757, 10008, 11676, 17514, 23352, 35028

Step-4: Factors of 70074

List of positive integer factors of 70074 that divides 70056 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 229, 306, 458, 687, 1374, 2061, 3893, 4122, 7786, 11679, 23358, 35037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70056 and 70074. The biggest common factor number is the GCF number.
So the greatest common factor 70056 and 70074 is 18.

Also check out the Least Common Multiple of 70056 and 70074