What is the Greatest Common Factor of 70053 and 70068?

Greatest common factor (GCF) of 70053 and 70068 is 3.

GCF(70053,70068) = 3

We will now calculate the prime factors of 70053 and 70068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70053 and 70068.

How to find the GCF of 70053 and 70068?

We will first find the prime factorization of 70053 and 70068. After we will calculate the factors of 70053 and 70068 and find the biggest common factor number .

Step-1: Prime Factorization of 70053

Prime factors of 70053 are 3, 19, 1229. Prime factorization of 70053 in exponential form is:

70053 = 3¹ × 19¹ × 1229¹

Step-2: Prime Factorization of 70068

Prime factors of 70068 are 2, 3, 5839. Prime factorization of 70068 in exponential form is:

70068 = 2² × 3¹ × 5839¹

Step-3: Factors of 70053

List of positive integer factors of 70053 that divides 70053 without a remainder.

1, 3, 19, 57, 1229, 3687, 23351

Step-4: Factors of 70068

List of positive integer factors of 70068 that divides 70053 without a remainder.

1, 2, 3, 4, 6, 12, 5839, 11678, 17517, 23356, 35034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70053 and 70068. The biggest common factor number is the GCF number.
So the greatest common factor 70053 and 70068 is 3.

Also check out the Least Common Multiple of 70053 and 70068