What is the Greatest Common Factor of 35074 and 35085?

Greatest common factor (GCF) of 35074 and 35085 is 1.

GCF(35074,35085) = 1

We will now calculate the prime factors of 35074 and 35085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35074 and 35085.

How to find the GCF of 35074 and 35085?

We will first find the prime factorization of 35074 and 35085. After we will calculate the factors of 35074 and 35085 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 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 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 35085

List of positive integer factors of 35085 that divides 35074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35074 and 35085. The biggest common factor number is the GCF number.
So the greatest common factor 35074 and 35085 is 1.

Also check out the Least Common Multiple of 35074 and 35085