What is the Greatest Common Factor of 35070 and 35085?

Greatest common factor (GCF) of 35070 and 35085 is 15.

GCF(35070,35085) = 15

We will now calculate the prime factors of 35070 and 35085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35070 and 35085.

How to find the GCF of 35070 and 35085?

We will first find the prime factorization of 35070 and 35085. After we will calculate the factors of 35070 and 35085 and find the biggest common factor number .

Step-1: Prime Factorization of 35070

Prime factors of 35070 are 2, 3, 5, 7, 167. Prime factorization of 35070 in exponential form is:

35070 = 2¹ × 3¹ × 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 35085

Prime factors of 35085 are 3, 5, 2339. Prime factorization of 35085 in exponential form is:

35085 = 3¹ × 5¹ × 2339¹

Step-3: Factors of 35070

List of positive integer factors of 35070 that divides 35070 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 167, 210, 334, 501, 835, 1002, 1169, 1670, 2338, 2505, 3507, 5010, 5845, 7014, 11690, 17535

Step-4: Factors of 35085

List of positive integer factors of 35085 that divides 35070 without a remainder.

1, 3, 5, 15, 2339, 7017, 11695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35070 and 35085. The biggest common factor number is the GCF number.
So the greatest common factor 35070 and 35085 is 15.

Also check out the Least Common Multiple of 35070 and 35085