What is the Greatest Common Factor of 35060 and 35070?

Greatest common factor (GCF) of 35060 and 35070 is 10.

GCF(35060,35070) = 10

We will now calculate the prime factors of 35060 and 35070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35060 and 35070.

How to find the GCF of 35060 and 35070?

We will first find the prime factorization of 35060 and 35070. After we will calculate the factors of 35060 and 35070 and find the biggest common factor number .

Step-1: Prime Factorization of 35060

Prime factors of 35060 are 2, 5, 1753. Prime factorization of 35060 in exponential form is:

35060 = 2² × 5¹ × 1753¹

Step-2: 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-3: Factors of 35060

List of positive integer factors of 35060 that divides 35060 without a remainder.

1, 2, 4, 5, 10, 20, 1753, 3506, 7012, 8765, 17530

Step-4: Factors of 35070

List of positive integer factors of 35070 that divides 35060 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35060 and 35070. The biggest common factor number is the GCF number.
So the greatest common factor 35060 and 35070 is 10.

Also check out the Least Common Multiple of 35060 and 35070