What is the Greatest Common Factor of 70035 and 70052?

Greatest common factor (GCF) of 70035 and 70052 is 1.

GCF(70035,70052) = 1

We will now calculate the prime factors of 70035 and 70052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70035 and 70052.

How to find the GCF of 70035 and 70052?

We will first find the prime factorization of 70035 and 70052. After we will calculate the factors of 70035 and 70052 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 70052

Prime factors of 70052 are 2, 83, 211. Prime factorization of 70052 in exponential form is:

70052 = 2² × 83¹ × 211¹

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 70052

List of positive integer factors of 70052 that divides 70035 without a remainder.

1, 2, 4, 83, 166, 211, 332, 422, 844, 17513, 35026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70035 and 70052. The biggest common factor number is the GCF number.
So the greatest common factor 70035 and 70052 is 1.

Also check out the Least Common Multiple of 70035 and 70052