What is the Greatest Common Factor of 44020 and 44035?

Greatest common factor (GCF) of 44020 and 44035 is 5.

GCF(44020,44035) = 5

We will now calculate the prime factors of 44020 and 44035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44020 and 44035.

How to find the GCF of 44020 and 44035?

We will first find the prime factorization of 44020 and 44035. After we will calculate the factors of 44020 and 44035 and find the biggest common factor number .

Step-1: Prime Factorization of 44020

Prime factors of 44020 are 2, 5, 31, 71. Prime factorization of 44020 in exponential form is:

44020 = 2² × 5¹ × 31¹ × 71¹

Step-2: Prime Factorization of 44035

Prime factors of 44035 are 5, 8807. Prime factorization of 44035 in exponential form is:

44035 = 5¹ × 8807¹

Step-3: Factors of 44020

List of positive integer factors of 44020 that divides 44020 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 71, 124, 142, 155, 284, 310, 355, 620, 710, 1420, 2201, 4402, 8804, 11005, 22010

Step-4: Factors of 44035

List of positive integer factors of 44035 that divides 44020 without a remainder.

1, 5, 8807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44020 and 44035. The biggest common factor number is the GCF number.
So the greatest common factor 44020 and 44035 is 5.

Also check out the Least Common Multiple of 44020 and 44035