What is the Greatest Common Factor of 35074 and 35082?

Greatest common factor (GCF) of 35074 and 35082 is 2.

GCF(35074,35082) = 2

We will now calculate the prime factors of 35074 and 35082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35082.

How to find the GCF of 35074 and 35082?

We will first find the prime factorization of 35074 and 35082. After we will calculate the factors of 35074 and 35082 and find the biggest common factor number .

Step-1: Prime Factorization of 35074

Prime factors of 35074 are 2, 13, 19, 71. Prime factorization of 35074 in exponential form is:

35074 = 2¹ × 13¹ × 19¹ × 71¹

Step-2: Prime Factorization of 35082

Prime factors of 35082 are 2, 3, 1949. Prime factorization of 35082 in exponential form is:

35082 = 2¹ × 3² × 1949¹

Step-3: Factors of 35074

List of positive integer factors of 35074 that divides 35074 without a remainder.

1, 2, 13, 19, 26, 38, 71, 142, 247, 494, 923, 1349, 1846, 2698, 17537

Step-4: Factors of 35082

List of positive integer factors of 35082 that divides 35074 without a remainder.

1, 2, 3, 6, 9, 18, 1949, 3898, 5847, 11694, 17541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35082. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35082 is 2.

Also check out the Least Common Multiple of 35074 and 35082