What is the Greatest Common Factor of 35030 and 35050?

Greatest common factor (GCF) of 35030 and 35050 is 10.

GCF(35030,35050) = 10

We will now calculate the prime factors of 35030 and 35050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35030 and 35050.

How to find the GCF of 35030 and 35050?

We will first find the prime factorization of 35030 and 35050. After we will calculate the factors of 35030 and 35050 and find the biggest common factor number .

Step-1: Prime Factorization of 35030

Prime factors of 35030 are 2, 5, 31, 113. Prime factorization of 35030 in exponential form is:

35030 = 2¹ × 5¹ × 31¹ × 113¹

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 35030

List of positive integer factors of 35030 that divides 35030 without a remainder.

1, 2, 5, 10, 31, 62, 113, 155, 226, 310, 565, 1130, 3503, 7006, 17515

Step-4: Factors of 35050

List of positive integer factors of 35050 that divides 35030 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 35030 and 35050. The biggest common factor number is the GCF number.
So the greatest common factor 35030 and 35050 is 10.

Also check out the Least Common Multiple of 35030 and 35050