What is the Greatest Common Factor of 70035 and 70053?

Greatest common factor (GCF) of 70035 and 70053 is 3.

GCF(70035,70053) = 3

We will now calculate the prime factors of 70035 and 70053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70035 and 70053.

How to find the GCF of 70035 and 70053?

We will first find the prime factorization of 70035 and 70053. After we will calculate the factors of 70035 and 70053 and find the biggest common factor number .

Step-1: Prime Factorization of 70035

Prime factors of 70035 are 3, 5, 7, 23, 29. Prime factorization of 70035 in exponential form is:

70035 = 3¹ × 5¹ × 7¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 70035

List of positive integer factors of 70035 that divides 70035 without a remainder.

1, 3, 5, 7, 15, 21, 23, 29, 35, 69, 87, 105, 115, 145, 161, 203, 345, 435, 483, 609, 667, 805, 1015, 2001, 2415, 3045, 3335, 4669, 10005, 14007, 23345

Step-4: Factors of 70053

List of positive integer factors of 70053 that divides 70035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70035 and 70053. The biggest common factor number is the GCF number.
So the greatest common factor 70035 and 70053 is 3.

Also check out the Least Common Multiple of 70035 and 70053