What is the Greatest Common Factor of 35045 and 35050?

Greatest common factor (GCF) of 35045 and 35050 is 5.

GCF(35045,35050) = 5

We will now calculate the prime factors of 35045 and 35050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35045 and 35050.

How to find the GCF of 35045 and 35050?

We will first find the prime factorization of 35045 and 35050. After we will calculate the factors of 35045 and 35050 and find the biggest common factor number .

Step-1: Prime Factorization of 35045

Prime factors of 35045 are 5, 43, 163. Prime factorization of 35045 in exponential form is:

35045 = 5¹ × 43¹ × 163¹

Step-2: Prime Factorization of 35050

Prime factors of 35050 are 2, 5, 701. Prime factorization of 35050 in exponential form is:

35050 = 2¹ × 5² × 701¹

Step-3: Factors of 35045

List of positive integer factors of 35045 that divides 35045 without a remainder.

1, 5, 43, 163, 215, 815, 7009

Step-4: Factors of 35050

List of positive integer factors of 35050 that divides 35045 without a remainder.

1, 2, 5, 10, 25, 50, 701, 1402, 3505, 7010, 17525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35045 and 35050. The biggest common factor number is the GCF number.
So the greatest common factor 35045 and 35050 is 5.

Also check out the Least Common Multiple of 35045 and 35050