What is the Greatest Common Factor of 72035 and 72050?

Greatest common factor (GCF) of 72035 and 72050 is 5.

GCF(72035,72050) = 5

We will now calculate the prime factors of 72035 and 72050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72035 and 72050.

How to find the GCF of 72035 and 72050?

We will first find the prime factorization of 72035 and 72050. After we will calculate the factors of 72035 and 72050 and find the biggest common factor number .

Step-1: Prime Factorization of 72035

Prime factors of 72035 are 5, 14407. Prime factorization of 72035 in exponential form is:

72035 = 5¹ × 14407¹

Step-2: Prime Factorization of 72050

Prime factors of 72050 are 2, 5, 11, 131. Prime factorization of 72050 in exponential form is:

72050 = 2¹ × 5² × 11¹ × 131¹

Step-3: Factors of 72035

List of positive integer factors of 72035 that divides 72035 without a remainder.

1, 5, 14407

Step-4: Factors of 72050

List of positive integer factors of 72050 that divides 72035 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 131, 262, 275, 550, 655, 1310, 1441, 2882, 3275, 6550, 7205, 14410, 36025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72035 and 72050. The biggest common factor number is the GCF number.
So the greatest common factor 72035 and 72050 is 5.

Also check out the Least Common Multiple of 72035 and 72050