What is the Greatest Common Factor of 35070 and 35084?

Greatest common factor (GCF) of 35070 and 35084 is 14.

GCF(35070,35084) = 14

We will now calculate the prime factors of 35070 and 35084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35070 and 35084.

How to find the GCF of 35070 and 35084?

We will first find the prime factorization of 35070 and 35084. After we will calculate the factors of 35070 and 35084 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 35084

Prime factors of 35084 are 2, 7, 179. Prime factorization of 35084 in exponential form is:

35084 = 2² × 7² × 179¹

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 35084

List of positive integer factors of 35084 that divides 35070 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 179, 196, 358, 716, 1253, 2506, 5012, 8771, 17542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35070 and 35084. The biggest common factor number is the GCF number.
So the greatest common factor 35070 and 35084 is 14.

Also check out the Least Common Multiple of 35070 and 35084